Question

75
31 In ca class, there we 65 students
students like to play cricket
them like to play both the
3
Find the
number of students who like to play
coicket and football, separate Also,
find the number of at students
play both games.
like to pay band of students

give answer in full method ​

Answer 1

Answer:

Let ,F Hand C represent the set of students who play foot ball, hockey and cricket respectively. Then n(F)=65, n(H)=45, and n (C)=42.

n(F∩H)=20,n(F∩C)=25,n(H∩C)=15 and n(F∩H∩C)=8

We want to find the number of students in the whole group; that is n(F∩H∩C).

By the formula, we have

n(F∩H∩C)=n(F)+n(H)+n(C)−n(F∩H)−n(H∩C)−n(F∩C)+n(F∩H∩C)

65+45+42−20−25−15+8=100

Hence, the number of students in the group = 100.

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