Respuesta :

Answer:

Your answer is D

n!/k!(n-k)!

The combination helps us to find a number of ways. The correct definition that describes the combination[tex]$(\mathrm{n} / \mathrm{k})$[/tex] is

[tex]$(n / k)=\frac{n !}{k !(n-k) !}$[/tex]

Combination

A combination helps us to find the number of ways something can be selected from a set. It is given by the formula,

[tex]${ }^{n} C_{r}=C(n, r)$[/tex]

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

Where [tex]$n$[/tex] is the total number of choices in the set, [tex]$r$[/tex] is the number of choices we want.

Given to us

[tex]$(\mathrm{n} / \mathrm{k})$[/tex]

The correct definition that describes [tex]$(\mathrm{n} / \mathrm{k})$[/tex] using the combination formula [tex]$(n / k)=\frac{n !}{k !(n-k) !}$[/tex]

Hence, the correct definition that describes the combination [tex]$(n / k)$[/tex] is [tex]$(n / k)=\frac{n !}{k !(n-k) !}$[/tex]

Therefore, the correct answer is option D.[tex]$\frac{n !}{k !(n-k) !}$[/tex]

To learn more about the combination

https://brainly.com/question/8118560

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