choose the correct definition of (n/k) from below

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]
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
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