Question

11, In a group of athletic teams in a school, 21 are in the basketball team; 26 in the hockey
team and 29 in football team. If 14 play hockey and basketball; 12 play football and basketball;
15 play hockey and football and 8 play all the three games. Find
(i) how many players are there in all ;
(u) how many play football only.​

Answer 1

Step-by-step explanation:

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