Chapter 12.6, Problem 1STP

For Exercises 1 -7, choose the correct letter.

What is the value of ${}_5{p}_3?$.

A. 20 B. 40 C. 60 D. 120

To determine

Determine the value of the given expression.

Answer to Problem 1STP

C

Explanation of Solution

Given:

Given expression is :$P{}_3$

Formula Used:

  $P{}_r=\frac{n!}{(n-r)!}$

Calculation:

  $P{}_3=\frac{5!}{(5-3)!}=\frac{5!}{2!}=5\cdot 4\cdot 3=60$

So, the correct option is C.