1.

Of the members of three athletic teams in a certain school, 21 are inthe basketball team, 26 in hockey team and 29 in the football team. 14 playhockey and basket ball, 15 play hockey and football,12 play football and basketball and 8 play all the three games bow manymembers are there in all?

Answer» Let `B` is the set of members who are in basketball team, `F` is the set of members who are in Football team,
`H` is the set of members who are in hockey team.
Then,
`n(BuuFuuH) = n(B)+n(F)+n(H)-n(BnnF)-n(FnnH)-n(BnnH)+n(BnnFnnH)`
`:. n(BuuFuuH) = 21+26+29-14-15-12+8``=>n(BuuFuuH) = 43`
So, there are total `43` members in all.


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