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NIMCET 2020 — Mathematics PYQ

NIMCET | Mathematics | 2020

If A is a subset of B and B is a subset of C, then the cardinality of A U B U C is equal to:

Choose the correct answer:

Explanation

Concept:
- The cardinality of a set A is the measure of the "number of elements" of the set. It is denoted by n(A).
For example, a set containing 3 elements has a cardinality of 3.
- If A ⊂ B, then A U B = B.

Calculations:

Since, A ⊂ B and B ⊂ C, therefore A ∪ B ∪ C = C.
∴ n(A ∪ B ∪ C) = n(C).
∴ The cardinality (number of elements) of A ∪ B ∪ C is equal to cardinality (number of elements) of C.

Choose the correct answer:

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