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
$32$
✓
$20$
D
none of these

✓

Answer

Correct option: C.

$20$

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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