Q7. 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?
Total people = 65
n(like cricket) = 40
n(like both cricket and tennis) = 10
n(like tennis) = ?
Total people = n(like cricket) + n(like tennis) - n(like both cricket and tennis)
n(like tennis) = 65 - 40 + 10
n(like tennis) = 35
Hence,35 people like tennis.
n (people like only tennis) = n(like tennis) - n(like both cricket and tennis)
n (people like only tennis) = 35 - 10
n (people like only tennis) = 25
Hence,25 people like only tennis.