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100 students are surveyed about their sports. Each play at least 1 of the following sports. football, cricket and rugby. 56 play football, 51 play cricket, 55 play rugby, 24 play football and cricket, 21 play football and rugby, 28 play cricket and rugby. How many play all 3 games?

I tried to do this and I got 0 as my answer. A total of 51 people play cricket, 24 play football & cricket, and 28 play cricket & rugby. 24 + 28 = 52 people play cricket, 52 is greater than 51 which can't be write or the question would be wrong.

Am I misunderstanding the question? I fail miserably when it comes to this area of maths so any help will be appreciated!

I tried to do this and I got 0 as my answer. A total of 51 people play cricket, 24 play football & cricket, and 28 play cricket & rugby. 24 + 28 = 52 people play cricket, 52 is greater than 51 which can't be write or the question would be wrong.

Am I misunderstanding the question? I fail miserably when it comes to this area of maths so any help will be appreciated!

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