Question
True or False If $a$ and $b$ are positive integers such that$a+b=n,$ then $\left(\begin{array}{l}{n} \\ {a}\end{array}\right)=\left(\begin{array}{l}{n} \\ {b}\end{array}\right) .$ Justify your answer.
Step 1
Step 1: We know that the binomial coefficient is defined as $\left(\begin{array}{l}{n} \\ {a}\end{array}\right) = \frac{n!}{a!(n-a)!}$ and $\left(\begin{array}{l}{n} \\ {b}\end{array}\right) = \frac{n!}{b!(n-b)!}$. Show more…
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