Sherryperdue Sherryperdue
  • 24-04-2019
  • Mathematics
contestada

Find the value of the combination. 16c14 HELP

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 24-04-2019

Answer:

120

Step-by-step explanation:

We need the formula of combination:

nCr = [tex]\frac{n!}{(n-r)!*r!}[/tex]

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:

[tex]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[/tex]

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