In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student like to play at least one of the two games. How many students like to play both cricket and football?
Question
In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student like to play at least one of the two games. How many students like to play both cricket and football?
Solution
To solve this problem, we can use the principle of inclusion and exclusion.
Step 1: First, we add the number of students who like to play cricket and the number of students who like to play football. This gives us 24 + 16 = 40.
Step 2: However, we know that the total number of students is 35. This means that some students have been counted twice - once for cricket and once for football.
Step 3: To find out how many students have been counted twice, we subtract the total number of students from the sum we calculated in step 1. This gives us 40 - 35 = 5.
So, there are 5 students who like to play both cricket and football.
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