How many cricketers?

In a club of 80 members , 10 members play none of the games tennis,badminton, cricket.30 members play exactly one of these three games and 30 members play exactly two of these games.45 members play at least one of the games among tennis,badminton and cricket,whereas 18 members play both tennis and badminton.Determine the number of cricket playing members.


The answer is 35.

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