Published by:
CGP EDU Academic Team
Published on: August 14, 2026
There are three clubs A, B, C in a town with 40,50,60 members respectively. 10 people are members of all the three clubs, 80 members belong to only one club. Then the number of members which belongs to atleast two clubs are
Text Solution
Verified by ExpertsThe correct answer is:
B
80 = 40 + 50 + 60 – 2 (n(A ∩ B) + n(B ∩ C) + n (C ∩ A)) + 30
⇒ n(A ∩ B) + n (B ∩ C) + n(C ∩ A) = 50
Required number of members T = n(A ∩ B) + n(B ∩ C) + n(C ∩ A) – 2n (A ∩ B ∩ C)
= 50 – 2 ×10 = 30
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