Explanation:

- Let's analyze the statements:

- Statement 1: C(n, r) is greatest if n = 2r

- This is incorrect. The value of C(n, r) (binomial coefficient) is greatest when r is closest to n/2. That is, when n = 2r or n = 2r + 1, r = floor(n/2) or ceil(n/2).

- Statement 2: C(n, r) is greatest if n = 2r - 1 and n = 2r + 1

- This is partially incorrect. For n = 2r - 1, the greatest term is at r = (n-1)/2 or (n+1)/2, not specifically n = 2r - 1. For n = 2r + 1, the max is at floor((2r+1)/2) which is r.

- Correct Answer:

- Option 4: Neither 1 nor 2

- Both statements are not universally true, as the maximal value occurs at r = floor(n/2) or ceil(n/2).

- Statement 1 is misleading, and statement 2 is not always right.

Option: 4, Neither 1 nor 2