# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

200 results; page 4/8.

## Question 4476: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0001`; number: 4476
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0001/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0001.json)

## Question 4477: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0002`; number: 4477
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0002/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0002.json)

## Question 4478: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0003`; number: 4478
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0003/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0003.json)

## Question 4479: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0004`; number: 4479
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0004/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0004.json)

## Question 4480: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0005`; number: 4480
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0005/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0005.json)

## Question 4481: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0006`; number: 4481
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0006/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0006.json)

## Question 4482: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0007`; number: 4482
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0007/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0007.json)

## Question 4483: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0008`; number: 4483
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0008/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0008.json)

## Question 4484: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0009`; number: 4484
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0009/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0009.json)

## Question 4485: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0010`; number: 4485
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0010/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0010.json)

## Question 4486: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0011`; number: 4486
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0011/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0011.json)

## Question 4487: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0012`; number: 4487
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0012/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0012.json)

## Question 4488: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0013`; number: 4488
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0013/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0013.json)

## Question 4489: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0014`; number: 4489
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0014/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0014.json)

## Question 4490: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0015`; number: 4490
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0015/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0015.json)

## Question 4491: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0016`; number: 4491
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0016/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0016.json)

## Question 4492: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0017`; number: 4492
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0017/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0017.json)

## Question 4493: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0018`; number: 4493
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0018/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0018.json)

## Question 4494: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0019`; number: 4494
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0019/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0019.json)

## Question 4495: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0020`; number: 4495
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0020/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0020.json)

## Question 4496: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0021`; number: 4496
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0021/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0021.json)

## Question 4497: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0022`; number: 4497
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0022/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0022.json)

## Question 4498: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0023`; number: 4498
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0023/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0023.json)

## Question 4499: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0024`; number: 4499
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0024/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0024.json)

## Question 4500: Union and Intersection Cardinalities

- ID: `q-20261008-advance-20261010-r02-set-operations-0025`; number: 4500
- Processing: second_context_reviewed
- MKO: [mko-set-operations](/en/mko/mko-set-operations/)
- Family: [qf-density10-set-union-intersection-sizes](/en/explore/?family=qf-density10-set-union-intersection-sizes)
- Batch: [batch-20261008-advance-20261010-r02-set-operations-foundations](/en/explore/?batch=batch-20261008-advance-20261010-r02-set-operations-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261010-r02-set-operations-0025/) / [Markdown](/en/questions/q-20261008-advance-20261010-r02-set-operations-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261010-r02-set-operations-0025.json)

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