Question

A set $A$ contains $3$ elements and set $B$ contains $4$ elements. The minimum number of elements in $A\cap B$ is

• A. 3
• B. 4
• C. \N
• D. 7

Answer 1

The correct option is C \N

The relation between the number of elements in two sets $A$ and $B$ with $A\cap B$ is given by $0\le n(A\cap B)\le \mathrm{Min}\left\{n\right(A),n(B)\}.$Therefore, the minimum number of elements in $A\cap B$ is $0$