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Question
Out of 800 boys in a school 224 played cricket, 240 played hockey and 236 played basketball. Of the total 64 played both basketball and hockey, 80 played cricket and basketball and 40 played cricket and hockey, 24 players all the three games. The number of boys who did not play any game is
Out of 800 boys in a school 224 played cricket, 240 played hockey and 236 played basketball. Of the total 64 played both basketball and hockey, 80 played cricket and basketball and 40 played cricket and hockey, 24 players all the three games. The number of boys who did not play any game is
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Solution
The correct option is D 260
No. of players who played at least one game is:
By set theory
n(C∪H∪B)=n(C)+n(H)+n(B)−n(B∩H)−n(C∩B)−n(C∩H)+n(C∩H∩B)
=224+240+236−64−80−40+24=540
Hence 260 players do not play any game.
No. of players who played at least one game is:
By set theory
n(C∪H∪B)=n(C)+n(H)+n(B)−n(B∩H)−n(C∩B)−n(C∩H)+n(C∩H∩B)
=224+240+236−64−80−40+24=540
Hence 260 players do not play any game.
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