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In a class of 35 students, each student ...

In a class of 35 students, each student likes to play either cricket or hockey . 24 students like to play cricket and 5 students like to play both the games, how many students play hockey ?

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Let C=Set of students like to play cricket
H = The set of students like to play Hockey.According to the question `|C| uu H| =35 |C|=24,|C nn H| =5`
Now`|C uu H|=|C|+|H|-|C nn H|
`implies 35=24+|H|-5`
` implies|H|=16`
`:.` 16 students like to play Hockey.
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