Question

If A and B are two overlapping sets, then which of the following relations is incorrect? (A) n (AUB) = n(A) + n (B) - n( AB) (C) n (AUB) = n, (A) + n (B) - n( AB) (B) n (AUB) = n(A) + n (B) + n( AB) (D) n (AU B) = n (A) + n (B) 10 fanl Rolte​

Answer 1

Answer:

Correct option is

A

n(A∪B)=n(A)+n(B)

A and B are two disjoint sets.

∴ A∩B=ϕ ⟹ n(A∩B)=0

Since, n(A∪B)=n(A)+n(B)−n(A∩B)

=n(A)+n(B)−0=n(A)+n(B)

Hence, n(A∪B)=n(A)+n(B)

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