Let n(A) = 28, n(A ∩ B) = 8, n(A ∪ B) = 52, then n(A ∩ B′) =. - Vidyadip

MCQ

Let n(A) = 28, n(A ∩ B) = 8, n(A ∪ B) = 52, then n(A ∩ B′) =.

A
30
B
32
C
20
D
none of these.

✓

Answer

20

Solution:

Given n(A) = 28, n(A ∩ B) = 8.

We have A ∩ B′ = A − A ∩ B.

This give n(A ∩ B′) = n(A) − n(A ∩ B)

or, n(A ∩ B′) = 28 − 8 = 20.

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