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Permutations and Combinations (p-2) — Maths (commerce) STD 11 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 11 Commerce / ArtsMaths (commerce)Permutations and Combinations (p-2)1 Mark
Question
Evaluate: $\frac{n !}{r !(n-r) !}$ for : $n=12, r=12$
✓

Answer

$
\begin{aligned}
& 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}
\end{aligned}
$

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