Chapter 12, Problem 7PTTS

To determine

To find: The value of $30{\text{P}}_2$ .

Answer to Problem 7PTTS

The value of $30{\text{P}}_2$ is $870$ .

Explanation of Solution

Given information: $30{\text{P}}_2$

Calculation: Since, $30{\text{P}}_2$ means $30$ permutation $2$ .

Which, can be calculated as,

  $\begin{array}{l}=\frac{30!}{\left(30-2\right)!}\\ =\frac{30\times 29\times 28!}{28!}\\ =30\times 29\\ =870\end{array}$

Hence, The value of $30{\text{P}}_2$ is $870$ .