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In a group of 65 people, 40like cricket, 10 like both cricket and tennis. How many like tennis only andnot cricket? How many like tennis? |
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Answer» Let C be the set of people who like cricket and T who like tennis Here, `n (C) = 40` `:. n(C cup T) = 65 and n (C cap T) = 10` Number of people who like only tennis but not cricket `= n(C cupT)-n(C)` `=65-40=25` Again `n(C cupT)=n(C)+n(T)-n(C cap T)` `rArr 65=40 +n(T) -10` `rArr n(T)=65-40 +10 = 35` and number of people who like tennis = 35. |
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