Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?  Choose the correct choice from the following answers
A) 75	B) 100	C) 125	D) 150	E) None of these
Explanation:   Students who play cricket, n(A) = 325   Students who play football, n(100) = 175   Total students who play either or both games,   =n(A∪100)=450−50=400Required Number,n(A∩100)=n(A)+n(100)−n(A∪100)=325+175−400=100   Option 100
<result>B</result>
Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket ?