Question

Let the players who play cricket be 12, the ones who play football 10, those who play only cricket are 6, then the number of players who play only football are ___________, assuming there is a total of 16 players. Pls answer having test .class 11 math sets

Answer 1

Answer:

5 because the

Step-by-step explanation:

i think it's a the answer

Answer 2

SOLUTION

GIVEN

Let the players who play cricket be 12, the ones who play football 10, those who play only cricket are 6

There is a total of 16 players

TO DETERMINE

The number of players who play only football

EVALUATION

Let

C : The set of players who play cricket

F : The set of players who play football

So by the given condition

n(C) = 12 , n(F) = 10 , n(only C) = 6

Thus we have

n( C ∩ F )

= n(C) - n( only C )

= 12 - 6

= 6

Hence the number of players who play only football

= n(F) - n( C ∩ F )

= 10 - 6

= 4

Venn Diagram : From Venn diagram we also see that the number of players who play only football is 4

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