Question

use the formula for ( _np_r ) to evaluate the following expression.
( _5p_3 )
( _5p_3 = square )

Explanation:

Step1: Recall permutation formula

The permutation formula is $_nP_r = \frac{n!}{(n-r)!}$ where $n=5$, $r=3$.

Step2: Calculate factorials

$5! = 5×4×3×2×1 = 120$, $(5-3)! = 2! = 2×1 = 2$.

Step3: Compute the result

$_5P_3 = \frac{120}{2} = 60$.

Answer:

60