Which of the following is/are true –

Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

r C 0 + r + 1 C 1 + … + r + k C k = r + k + 1 C k ; r, k ∈ N

r C r + r + 1 C r + … n C r = n + 1 C r+ 1 ; n, r ∈ N, n ≥ r

r . n C r = n.2 n – 1

(–1) r . n C r > 0

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

, , are true but is false

Choice (–1) r n C r = 0

So is false.

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