A women has 11 close friends. Number of ways in which she c…

Maths Permutations & Combination Definition of Combinations, Condition Combinations, Division into Groups, Derangements Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

A women has 11 close friends. Number of ways in which she can invite 5 of them to dinner, if two particular of them are not on speaking terms and will not attend together is-

11 C 5 – 9 C 3

9 C 5 + 2 9 C 4

3 9 C 4

None

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The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

If both are not present = 9 C 5

If one is present other is not = 9 C 4

Total = 9 C 5 + 2 9 C 4 = 3 9 C 4 = 11 C 5 – 9 C 3

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