Question

Find the value of the combination. 16c14 HELP

Answer 1

120

Explanation:

We need the formula of combination:

nCr =
`(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=(n!)/((n-r)!*r!)\\16C14=(16!)/((16-14)!*14!)\\=(16!)/(2!*14!)\\=(16*15*14!)/((2*1)*14!)\\=(16*15)/(2)\\=120`