1. Combinatorics QUESTION 3-3

Let n be an odd integer greater than 1. Prove that the sequence

(n choose 1), (n choose 2) , . . . , {n choose (n−1)/2}

contains an odd number of odd numbers.

2. Re: Combinatorics QUESTION 3-3

Hey maximus101.

Do you want to show that nCr is always odd and that the length of the sequence is also odd?