Question

Use the formula for nP, to evaluate the following expression.n8P5

Answer 1

Given: The expression below

`_8P_5`

To Determine: The value of the given using permutation formula

The permutation formula is given as

`_nP_r=(n!)/((n-r)!)`

Use the formula to calculate for the given as shown below

`_8P_5=(8!)/((8-5)!)`
`_8P_5=(8*7*6*5*4*3!)/(3!)`
`\begin{gathered} _8P_5=8*7*6*5*4 \\ _8P_5=6720 \end{gathered}`

Hence

₈P₅ = 6720