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;

`(n!)/((n-r)!)`

Recall that;

`a!=a(a-1)(a-2)(a-3)\ldots`
`(16!)/((16-14)!)`

Thus, we have;

`(16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1)/(2*1)`
`=10,461,394,944,000`