Question

If A and B are two sets such that $n\left(A\right)=17,n\left(B\right)=23,n(A\cup B)=38$, find $n(A\cap B)$.

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (B)

2

We know,

$n(A\cap B)=n\left(A\right)+n\left(B\right)-n(A\cup B)$

$n(A\cap B)=17+23-38=2$