In a class of 46 students, 22 plays football 26 plays volleyball, if 3 students plays both games, how many plays neither?
To solve this problem, we can use the principle of inclusion-exclusion.
The total number of students who play either football or volleyball is the sum of those who play football plus those who play volleyball, minus the number who play both:
Total = Football + Volleyball - Both
Total = 22 + 26 - 3
Total = 45
Therefore, the number of students who play neither football nor volleyball is:
Neither = Total number of students - Total number who play either
Neither = 46 - 45
Neither = 1
So, only one student plays neither football nor volleyball.