Question

Substitute values into the formula for Pr.n:7!Pr=(7-6)!(Type an integer or a decimal.)There can beways that the sodas can be selected.

Answer 1

Step-by-step explanation

Given the permutation formula expressed as:

`n_{}P_r=(n!)/((n-r)!)`

To get 7P6, this will be expressed as:

`\begin{gathered} 7P_6=(7!)/((7-6)!) \\ 7P_6=(7!)/(1!) \\ 7P_6=7! \\ 7!=7*6*5*4*3*2*1 \\ 7!=5,040\text{ways} \end{gathered}`

Hence the number of ways the sodas can be selected is 5,040 ways