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Question

There are 240 students in class XI of a school, 130 play cricket, 100 play football, 75 play volleyball, 30 of these play cricket and football. 25 play volleyball and cricket, 15 play football and volleyball. Also catch students play atleast one of the three games. How many students play all the three games?

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Solution

Totl students=240
A=130 play cricket, B=100 play football, C=75 play volleyball.
30 play cricket & football.
25 play volleyball & cricket.
15 play football & volleyball.
ABC=A+B+CABBCAC+ABC240=130+75+100302515+ABCABC=240235=5

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