In a class of $40$ students, $25$ play cricket and $20$ play football. If every student plays at least one…

In a class of $40$ students, $25$ play cricket and $20$ play football. If every student plays at least one game, the number who play both is
  1. $5$
  2. $15$
  3. $20$
  4. $10$

Solution

$n(A \cup B) = 40$, $n(A) + n(B) = 45$. So $n(A \cap B) = 45 - 40 = 5$.

Asked in: MH-SSC-9

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