We have 60 students playing football and 55 playing cricket. If 5 students aren't playing any games, that means 95 students are playing at least one game. To find the number of students playing both games, we can use the principle of inclusion-exclusion.
- 10
- 20
- 30
- 40
Explanation
Given Information:
- Total students = 100
- Students playing football = 60
- Students playing cricket = 55
- Students not playing any game = 5
Calculation Steps:
1. Calculate the number of students playing at least one game:
2. = 100 - 5 = 95
2. Use the inclusion-exclusion principle:
95 = 60 + 55 - x
Simplifying this gives:
95 = 115 - x implies x = 115 - 95 = 20
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