please solve this problem so urgent
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Answer:
14,14 & 12
Step-by-step explanation:
n(U)=40
n(T)[Students playing Tennis]=28
n(B)[Students playing Badminton]=26
Now,
Students playing both games=n(T∩B)
We know,
N(U)=n(TUB)+N(TUB)Complementary
Since each student plays atleast one N(TUB)Complementary=0
So,
N(U)=n(T)+n(B)-n(T∩B)
or,40=28+26-n(T∩B)
or,40-54=-n(T∩B)
or,-14=-n(T∩B)
Therefore, n(T∩B)=14
Again,
For only one games,
nonly(T)=n(T)-n(T∩B)=28-14=14
nonly(B)=n(B)-n(T∩B)=26-14=12
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