Prove the following two identities both algebraically and
Chapter , Problem 35(choose chapter or problem)
Prove the following two identities both algebraically and by interpreting their meaning combinatorially.
a. \(\left(\begin{array}{l} n \\ r \end{array}\right)=\left(\begin{array}{c} n \\ n-r \end{array}\right) \)
b. \(\left(\begin{array}{l} n \\ r \end{array}\right)=\left(\begin{array}{l} n-1 \\ r-1 \end{array}\right)+\left(\begin{array}{c} n-1 \\ r \end{array}\right)\)
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