Question
Evaluate: $\frac{n !}{r !(n-r) !}$ for

$n =12, r =12$

Answer

$n =12, r =12$

$\begin{aligned} \therefore \quad \frac{ n !}{ r !( n - r ) !} & =\frac{12 !}{12 !(12-12) !}=\frac{12 !}{12 ! 0 !} \\ & =1 \quad \ldots[\because 0 !=1]\end{aligned}$

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