0 votes 0 votes Show that if $n$ and $k$ are positive integers, then $\binom{n + 1}{k} = \dfrac{(n + 1)\binom {n}{k – 1}}{k}.$ Use this identity to construct an inductive definition of the binomial coefficients. Combinatory kenneth-rosen discrete-mathematics counting binomial-theorem descriptive + – admin asked Apr 30, 2020 • edited Apr 30, 2020 by Lakshman Bhaiya admin 233 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.