Aspire Faculty ID #9478 · Topic: NIMCET 2020 · Just now
NIMCET 2020

If A is a subset of B and B is a subset of C, then cardinality of A ∪ B ∪ C is equal to

Solution

If A ⊆ B and B ⊆ C, then find the cardinality of A ∪ B ∪ C.

Explanation

  • Since A is a subset of B, everything in A is already in B.
  • Since B is a subset of C, everything in B (and hence A) is already in C.
  • Therefore, A ∪ B ∪ C = C.

✅ Final Answer

|A ∪ B ∪ C| = |C|

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Rishi
Rishi ,
Commented Sep 27, 2024
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