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A college warded 38 medals in football, ...

A college warded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, how many received medals in exactly two of the three sports?

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Let `F,B,C` be the sets of students who received medals in football, basketball, and cricket repectively.
`n(F)=38`
`n(B)=15`
`n(c)=20`
...
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