Q. 104.4( 7 Votes )

Of the members of

Answer :

A total number of People n(P) = ?.


People who play Basketball n(B) =21.


People who play Football n(F) = 29.


People who play Hockey n(H) = 26.


People who play Basketball and Hockey n(BH) = 14


People who play Football and Hockey n(HF) = 15


People who play Basketball and Football n(BF) = 12


People who play all games n(H ∩B ∩ F) = 8


Total number of people would be n(H or B or F) = n(HBF)


We know,


n(H∪B∪F) = n(H)+n(B)+n(F) – n (H B)– n (H F)– n (B F)+ n (H B F)


n(H∪B∪F) = 26+21+29–14–15–12+8


n(H∪B∪F) = 43.


Hence, there are 43 members in all.

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