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In a class of 35 students, 24 like to pl...

In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football?

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To solve the problem, we will use the principle of inclusion-exclusion for sets. Let's denote: - \( C \): the set of students who like cricket - \( F \): the set of students who like football - \( n(C) \): the number of students who like cricket - \( n(F) \): the number of students who like football - \( n(C \cap F) \): the number of students who like both cricket and football - \( n(C \cup F) \): the total number of students who like either cricket or football ...
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