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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. |
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Answer» -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 |
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