Question

Let U be the universal set containing 700 elements. If A, B are sub-sets of U such that n(A) = 200, n(B) = 300 and n (A ∩ B) = 100. Then n (A '∩ B ') =


400
600
300
Noneofthese

Answer 1

Step-by-step explanation:

Given, It should be n(A∪B)

n(A)=200 n(B)=300 n(A∩B)=100

Then n(A∪B)=n(A)+n(B)−n(A∩B)

n(A∩B)=200+300−100

=500−100

=400

Answer 2

Answer:

$Given,  It \: should \: be \:  n(A∪B)$

Step-by-step explanation:

n(A)=200 n(B)=300 n(A∩B)=100

Then n(A∪B)=n(A)+n(B)−n(A∩B)

n(A∩B)=200+300−100

=500−100

=400

HENCE THE (C) IS THE CORRECT ONE = 400