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?

Explanation

To solve the problem step by step, we will use the principle of inclusion-exclusion in set theory.

### Step 1: Define the sets
Let:
- \( N \) = Total number of students = 35
- \( C \) = Number of students who like cricket = 24
- \( F \) = Number of students who like football = 16
- \( x \) = Number of students who like both cricket and football
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