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

People who like cricket, `n(A) = 40`
People who like both cricket and tennis, `n(AnnB) = 10`
Total number of people,`n(AuuB) = 65`
People who like tennis,`n(B) = n(Auub)+n(AnnB)-n(A) = 65+10-40 = 35`
People who like tennis and not cricket `= n(B) -n(AnnB) = 35-10 = 25`