Question
Prove that $\left(\begin{array}{c}n+1 \\ k\end{array}\right)=\left(\begin{array}{l}n \\ k\end{array}\right)+\left(\begin{array}{c}n \\ k-1\end{array}\right).$
Step 1
According to the definition of binomial coefficients, this can be written as $\frac{(n+1)!}{k!(n+1-k)!}$. Show more…
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