If A, B and C are three non-empty sets such that A and B are disjoint and the number of elements contained in A is equal to the number of elements common to the sets A and C, then n(A B C) is necessarily equal to

JEE Main Mathematics question

If , and are three non-empty sets such that and are disjoint and the number of elements contained in is equal to the number of elements common to the sets and , then is necessarily equal to

(A)Correct
(B)
(C)Both (A) and (B)
(D)None of these

Answer: (A)

Solution

with (finite) gives , i.e. \subseteq$

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Question ID VK-003156