Question

In a group of $65$ people, $40$ like cricket and tennis. How many like tennis only and not cricket? How many like tennis?

Answer 1

Let $A$= set of people who like cricket.

$B$= set of people who like tennis.

$n\left(A\right)=40,n(A\cap B)=10$.

$\therefore n(A-B)=(40-10)=30$

$\therefore n(B-A)=65-(30+10)=25$.

Number of people who like tennis only $=25$

Number of people who like tennis $=(25+10)=35$.