Question

7. There
are three athletic teams in a school. Of these, the
basketball team has 21 members, the hockey team has 26 mem-
bers and the football team has 29 members. If 14 play
hockey and basket ball, is play hockey and faltball and
12 play basketball and football and & are in all the three
teams, then how many
members are there altogether.Bybshowing Venn diagram​

Answer 1

Step-by-step explanation:

ANSWER

Let B,H,F be the sets of members in the basket ball team, hockey team, football team respectively.

∴n(B)=21,N(H)=26,n(F)=29,n(H∩B)=14,

∴n(H∩F)=15,n(F∩B)=12,n(B∩H∩F)=8.

∴n(B∪H∪F)=n(B)+n(H)+n(F)−n(B∩H)−n(H∩F)−(B∩F)+n(B∩H∩F)

=21+26+29−14−15−12+8=43