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

Answer:

Explanation

Given the permutation formula expressed as:

$n_{}P_r=\frac{n!}{(n-r)!}$

To get 7P6, this will be expressed as:

$\begin{gathered} 7P_6=\frac{7!}{(7-6)!} \\ 7P_6=\frac{7!}{1!} \\ 7P_6=7! \\ 7!=7\times6\times5\times4\times3\times2\times1 \\ 7!=5,040\text{ways} \end{gathered}$

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