Question

Evaluate each expression

$P\left(9,1\right)$

Short answer

The value of $P\left(9,1\right)=9$.

Step-by-step solution

Step 1. Given Information.

Given to evaluate the expression $P\left(9,1\right)$.

Step 2. Calculation.

When n objects are available and r are to be picked then the number of permutations is given by $P\left(n,r\right)=\frac{n!}{\left(n-r\right)!}$

Here n=9,r=1

Plugging the values:

$\begin{array}{l}P\left(9,1\right)=\frac{9!}{\left(9-1\right)!}\\ P\left(9,1\right)=\frac{9!}{8!}\\ P\left(9,1\right)=\frac{9\cdot 8!}{8!}\\ P\left(9,1\right)=9\end{array}$

Step 3. Conclusion.

Hence, the value of $P\left(9,1\right)=9$.