In a class of 100 students, 60play Table tennis, 20 play both Volley ball and Table tennis 10 play neither Table tennis nor Volley ball. How many play only Volley ball?a.50b.40c.30d.20
Question
In a class of 100 students, 60play Table tennis, 20 play both Volley ball and Table tennis 10 play neither Table tennis nor Volley ball. How many play only Volley ball?a.50b.40c.30d.20
Solution
Let's break it down:
- Total students = 100
- Students who play Table tennis = 60 (This includes those who also play Volleyball)
- Students who play both Volleyball and Table tennis = 20
- Students who play neither = 10
We are asked to find the number of students who play only Volleyball.
First, let's find the number of students who play at least one game. This is total students minus those who play neither, so 100 - 10 = 90 students.
Next, let's find the number of students who play only Table tennis. This is total Table tennis players minus those who also play Volleyball, so 60 - 20 = 40 students.
Finally, to find the number of students who play only Volleyball, we subtract the number of students who play only Table tennis and those who play both games from the total who play at least one game. So, 90 - 40 (only Table tennis) - 20 (both) = 30 students.
So, the answer is c. 30.
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