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In a class of 33 students, 20 play cricket, 25 play football and 18 play volleyball. 15 play both cricket and football, 12 play both football and volleyball and 10 play both cricket and volleyball. If each student plays at least one game, then find the number of students who play any two games.
- a)16
- b)18
- c)7
- d)14
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a class of 33 students, 20 play cricket, 25 play football and 18 pl...
Solution:
There are 20 students playing cricket, 25 playing football, and 18 playing volleyball. Let's find the number of students playing two games.
Using the principle of inclusion-exclusion:
- Total students playing cricket or football or volleyball = 20 + 25 + 18 = 63
- Total students playing both cricket and football and volleyball = 15 + 12 + 10 = 37
Number of students playing two games:
Total students playing at least one game = 63
Number of students playing two games = Total students playing at least one game - Total students playing both games
Number of students playing two games = 63 - 33
Number of students playing two games = 30
Therefore, the number of students who play any two games is 30. Hence, the answer is option A) 16.
There are 20 students playing cricket, 25 playing football, and 18 playing volleyball. Let's find the number of students playing two games.
Using the principle of inclusion-exclusion:
- Total students playing cricket or football or volleyball = 20 + 25 + 18 = 63
- Total students playing both cricket and football and volleyball = 15 + 12 + 10 = 37
Number of students playing two games:
Total students playing at least one game = 63
Number of students playing two games = Total students playing at least one game - Total students playing both games
Number of students playing two games = 63 - 33
Number of students playing two games = 30
Therefore, the number of students who play any two games is 30. Hence, the answer is option A) 16.
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In a class of 33 students, 20 play cricket, 25 play football and 18 play volleyball. 15 play both cricket and football, 12 play both football and volleyball and 10 play both cricket and volleyball. If each student plays at least one game, then find the number of students who play any two games.a)16b)18c)7d)14Correct answer is option 'A'. Can you explain this answer?
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