Question

In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?

Answer 1

Correct Answer - 25,35
Let `A=` set of people who like cricket.
` B=` set of people who like tennis.
` n(A) =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`.