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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Binomial Theorem

NDA 2023 · Mathematics · Binomial Theorem

Consider the following statements for a fixed natural number n : 1....

Consider the following statements for a fixed natural number nn : 1. C(n,r)\mathrm{C}(n, r) is greatest if n=2r2.C(n,r)n=2 r 2. \mathrm{C}(n, r) is greatest if n=2r−1n=2 r-1 and n=2r+1n=2 r+1 Which of the statements given above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

D. Neither 1 nor 2

Step-by-step solution

C(n,r)C(n, r) is greatest (i) when nn is even then n=2r−2n=2 r-2 (ii) when nn is odd, For maximum value, n=2r−1n=2 r-1 and 2r−32 r-3.
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