Question

(ii) A group of 60 children attend an often school club. Of these,
35 children play football and 29 play hockey. 3 children do not
play either football or hockey. By drawing a Venn diagram or
otherwise, find the number of children who play only hockey.
​

Answer 1

Answer:

29 children will play hockey

Step-by-step explanation:

Here,

A group of 60 children

35 plays football

And, 29 play hockey

3 doesn't play anything

Answer 2

Answer:

The answer should be 22

Step-by-step explanation:

We know that n(A U B) = n(A) - n(A ∩ B) + n(B)

since It has been said that 3 children do not play either, we can subtract them from the universal set

60 - 3 =57

Now we can put value in formula to find n(A ∩ B):-

57 = 35 - n(A ∩ B) + 29

57 - 64 = n(A ∩ B)

n(A ∩ B) = 7

n(B) only = n(B) - n(A ∩ B) = 29 - 7 = 22