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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» Let C = set of people who like cricket T = set of people who like tennis. Then n(C ∪ T) = 65; n(C) = 40; n(C ∩ T) = 10 ∴ n(T) = n{C∪T) + n(C∩T)-n(C) = 65 + 10-40 = 35 Number of people who like tennis only n(T-C) = n(T)-n(C ∩ T) = 35-10 = 25 |
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