Maths Set Theory and Relations Practical Problems on Union and Intersection of Two Sets Single Correct MCQ
Published on: August 14, 2026

In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football?

A
3
B
2
C
4
D
5

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Text Solution

Verified by Experts
The correct answer is:
D

Let be the set of students who like to play cricket and be the set of students who like to play football. Then, is the set of students who like to play at least one game, and is the set of students who like to play both games.
Given,
Using , we get

Thus,

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