Out of 65 players,11 play basketball only,11 play both basketball and cricket.The number of players who play cricket is twice the number of players who play basketball.By using a venn diagram find the number of players who play cricket only and who don't play both the games

1 answer

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Draw two intersecting circles, label them B and C
In the intersection of B and C, enter 11
in the part of ' B only ' enter 11
so 22 play Basketball
"The number of players who play cricket is twice the number of players who play basketball" -----> so 44 play Cricket, and from your Venn you can see that the 'C only' part has to be 33

but 65 - 22 - 33 = 10

So 33 play only cricket, and 10 play neither sport.