Prove-that-the-greatest-coefficient-in-the-expansion-of-x-1-x-2-x-3-x-k-n-n-q-k-r-q-1-r-where-n-qk-r-0-r-k-1- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 22315 by Tinkutara last updated on 15/Oct/17 Provethatthegreatestcoefficientintheexpansionof(x1+x2+x3+…+xk)n=n!(q!)k−r[(q+1)!]r,wheren=qk+r,0⩽r⩽k−1 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-22313Next Next post: Prove-that-the-coefficient-of-x-p-in-the-expansion-of-a-0-a-1-x-a-2-x-2-a-3-x-3-a-k-x-k-n-is-n-n-0-n-1-n-2-n-3-n-k-a-0-n-0-a-1-n-1-a-2-n-2-a-3-n-3-a-k-n-k-whe Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.
![Prove that the greatest coefficient in the expansion of (x_1 +x_2 +x_3 +...+x_k )^n = ((n!)/((q!)^(k−r) [(q+1)!]^r )) , where n = qk + r, 0 ≤ r ≤ k − 1](https://www.tinkutara.com/question/Q22315.png)