Question

Find the indicated expression, where n = 16, r = 14. (Simplify the answer as much as possible.)(n text(!)) / (\(n - r\) text(!) )

Answer 1

Given that n=16 and r=14;

$\frac{n!}{(n-r)!}$

Recall that;

$a!=a(a-1)(a-2)(a-3)\ldots$$\frac{16!}{(16-14)!}$

Thus, we have;

$\frac{16\times15\times14\times13\times12\times11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{2\times1}$$=10,461,394,944,000$