Question

in a class of 95 students, 40 play cricket,50 play football and 10 play both cricket and football.how many student's play only football?​

Answer 1

Answer:

50-10=40

is required no. if persons playing football

Answer 2

SOLUTION

GIVEN

In a class of 95 students, 40 play cricket , 50 play football and 10 play both cricket and football.

TO DETERMINE

The number of players who play only football

EVALUATION

Let

U : The set of all students

C : The set of players who play cricket

F : The set of players who play football

So by the given condition

n(C) = 40 , n(F) = 50 , n( C ∩ F ) = 10

Hence the number of players who play only football

= n( Only F )

= n(F) - n( C ∩ F )

= 50 - 10

= 40

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