Home Maths Set Theory and Relations Set Theory Suppose are thirty sets each having 5 eleme…
Maths Set Theory and Relations Set Theory Single Correct MCQ
Published on: August 14, 2026

Suppose are thirty sets each having 5 elements and , ......., B n are n sets each with 3 elements. Let = S and each elements of S belongs to exactly 10 of the and exactly 9 of the . Then n is equal to

A
15
B
3
C
45
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
C

O(S) = Since, element in the union S belongs to 10 of A i ' s

Also, O(S) = , ∴ ∴ .

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