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.

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- October 20th 2012, 05:49 AMmaximus101Combinatorics 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. - October 20th 2012, 05:30 PMchiroRe: 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?