Electronics and Communication Engineering - Exam Questions Papers - Discussion
Discussion Forum : Exam Questions Papers - Exam Paper 11 (Q.No. 2)
2.
25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:
Answer: Option
Explanation:
Representing the given information in the Venn diagrams, we have
Let the number of people who play only hockey = a
The number of people who play only football = b
Now, a = n(H) - 10 = 15 - 10 = 5
b = n(F) - 10 = 17 - 10 = 7
Clearly, a + b + 10 + n = 25
⇒ n = 25 - 7 - 5 -10 ⇒ n = 3
∴ The number of people who do not play neither Hockey nor Football is 3.
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