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In a group of 65 people, 40 like cricket...

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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Let C =The set of persons like cricket T =The set of persons like tennis . According to the question
`|C|=40,|C nn T|=10 and |C uu T|=65`
Number of persons like tennis only but not cricket`=|C uu T|-|C|
`=65-40=15`
Number of persons like tennis
`=|C nn T| -|C|+|C nn T |`
`=65-40+10=25`
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