SOLUTION: in a class where all students play either cricket or football or both, if the number of students who play 2 games is 40 which is 60 less than the number of students who play only o

Question 1118370: in a class where all students play either cricket or football or both, if the number of students who play 2 games is 40 which is 60 less than the number of students who play only one of the games. find the strength of the class
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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Answer. 40 + (40+60) = 140. There are 140 students in the class.

Solution.

According to the condition, each student belongs to one of the two subsets:


    a) EITHER 40 students who play both cricket and football,   


    b) OR  (40+60)  students who play only one sport.


These two subsets have empty intersection and cover the entire population of the class, which gives the answer.

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