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Out of 80 players 35 play cricket, 42 play hockey, 25 play football, 8 play both cricket and hockey, 10…

61 players play only one game. Cricket only has \(35-8-10+3=20\) players, hockey only has \(42-8-7+3=30\), and football only has \(25-10-7+3=11\). Their sum is…

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Out of 80 players 35 play cricket, 42 play hockey, 25 play football, 8 play both cricket and hockey, 10 play both cricket and football, 7 play both hockey and football, 3 play all the three games.

How many players are playing only one game ?

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Correct answer C

61 players play only one game. Cricket only has 35−8−10+3=2035-8-10+3=20 players, hockey only has 42−8−7+3=3042-8-7+3=30, and football only has 25−10−7+3=1125-10-7+3=11. Their sum is 20+30+11=6120+30+11=61.

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