Question

Find the value of the combination. 16c14 HELP

Answer 1

Answer:

120

Step-by-step explanation:

We need the formula of combination:

nCr = $\frac{n!}{(n-r)!*r!}$

Also we need to understand "factorial" notation, which is the "!" mark. For example, 5! means 5 * 4 * 3 * 2 * 1, and

4! would mean 4 * 3 * 2 * 1

Now we can find out 16C14 by plugging it into the formula and doing the steps shown below:

$nCr=\frac{n!}{(n-r)!*r!}\\16C14=\frac{16!}{(16-14)!*14!}\\=\frac{16!}{2!*14!}\\=\frac{16*15*14!}{(2*1)*14!}\\=\frac{16*15}{2}\\=120$