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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?

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?

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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.

 

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