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There are 150 students in a college of whom 66 play basketball, 45 play cricket,27 play exactly two of three sports and 3 play all the sports.

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There are 150 students in a college of whom 66 play basketball, 45 play cricket,27 play exactly two of three sports and 3 play all the sports. How many of 150 play none of 3 sports?

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= 66 + 45 - 27 *2 + 3 *3 

= 111 - 63 = 48

Total student = 150 - 48

= 102

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