Question

Hyyy

Answer this question using Venn Diagram.

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Answer 1

Answer:

Answer:

Students who plays all three games = 5

Step-by-step explanation:

Let C, F, V denote the set of students who play cricket, football and volleyball respectively

Then we have, n(U) = n(C ∪ F ∪ V) = 240,

n(C) = 130, n(F) = 100, n(V) = 75,

n(C ∩ F) = 30, n(C ∩ V) = 25, n(F ∩ V) = 15

So, students who plays all three games = n(C ∩ F ∩ V)

⇒ n(C ∩ F ∩ V) = n(C ∪ F ∪ V) - n(C) - n(F) - n(V) + n(C ∩ F) + n(C ∩ V) + n(F ∩ V)

                           = 240 - 130 - 100 - 75 + 30 + 25 + 15

                           = 5

Hence, Students who plays all three games = 5

I HOPE IT WILL HELP U

Answer 2

${\huge {\mathfrak {Answer :-}}}$

_________

Here, we take the sets as

cricket = C

volleyball = V

football = F

And, numbers are given.

So, refer above ⬆️

________

All three games = 5

Only football and cricket = 25

_______

Thanks..