Solution Found!
Give an analytic verification of Now, give a combinatorial
Chapter 1, Problem 17STE(choose chapter or problem)
QUESTION:
Give an analytic verification of
\(\left(\begin{array}{l}n \\2\end{array}\right)=\left(\begin{array}{l}k \\2\end{array}\right)+k(n-k)+\left(\begin{array}{c}n-k \\2\end{array}\right), \quad 1\leq k \leq n\)
Questions & Answers
QUESTION:
Give an analytic verification of
\(\left(\begin{array}{l}n \\2\end{array}\right)=\left(\begin{array}{l}k \\2\end{array}\right)+k(n-k)+\left(\begin{array}{c}n-k \\2\end{array}\right), \quad 1\leq k \leq n\)
ANSWER:Step 1 of 2
From the given problem we have:
We need to give an analytic verification and a combinatorial argument for this identity.