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

NDA 2023 Mathematics question

Consider the following statements for a fixed natural number : 1. is greatest if 2. is greatest if and Which of the statements given above is/are correct?

(A)1 only
(B)2 only
(C)Both 1 and 2Correct
(D)Neither 1 nor 2

Answer: (C)

Solution

The binomial coefficients increase up to the middle and then decrease. If is even, the single greatest coefficient is at , i.e. ; statement 1 is

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-029558