Question:medium
In a class of 50 students:
30 like cricket
20 like football
15 like both cricket and football
How many students like only cricket?
In a class of 50 students:
30 like cricket
20 like football
15 like both cricket and football
How many students like only cricket?
30 like cricket
20 like football
15 like both cricket and football
How many students like only cricket?
Show Hint
In Venn diagram problems, use the inclusion-exclusion principle to calculate the number of students in each category. Always subtract those who belong to both groups to avoid double-counting.
Updated On: Mar 23, 2026
- 15
- 20
- 25
- 30
Show Solution
The Correct Option is C
Solution and Explanation
Step 1: Apply the inclusion-exclusion principle.
The formula to find students who like only cricket: \[ \text{Only Cricket} = \text{Total Cricket} - \text{Both Cricket and Football} \] Using the given values: \[ \text{Only Cricket} = 30 - 15 = 15 \] Step 2: Determine the answer.
The number of students who like only cricket is 15. The correct answer is (C) 25.
The formula to find students who like only cricket: \[ \text{Only Cricket} = \text{Total Cricket} - \text{Both Cricket and Football} \] Using the given values: \[ \text{Only Cricket} = 30 - 15 = 15 \] Step 2: Determine the answer.
The number of students who like only cricket is 15. The correct answer is (C) 25.
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