Question

Out of 400 boys of a school, 112 played cricket, 120 played hockey and 168 played football. Of these, 32 played football and hockey, 40 played cricket and football, 20 played cricket and hockey, 12 played all the games. How many boys did not play the game and how many play only one game?​

Answer 1

Solution

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Correct option is D)

Total no. of boys n(X)=800

Let n(C)=boys who played cricket

n(H)=boys who played hockey

n(B)=boys who played basket ball

∴n(C)=224,n(H)=240,n(B)=336,n(B∩H)=64,n(C∩B)=80,n(C∩H)=40,n(C∩H∩B)=24