Chapter 12.6, Problem 16P

Find the value of each expression.

${}_{100}{P}_2$

To determine

Find the value of each expression.

Answer to Problem 16P

9900

Explanation of Solution

Given:

The expression is:

  $P{}_2$

Formula Used:

  $P{}_r=\frac{n!}{(n-r)!}$

Calculation:

  $P{}_2=\frac{100!}{(100-2)!}=\frac{100!}{98!}=\frac{100\cdot 99\cdot 98!}{98!}=100\cdot 99=9900$ .