## College Algebra (6th Edition)

Number of members in club = 10 We have to choose three officers such that each office held by one person, then the number of ways to fill the office use the formula $n_{{P}{_{r}}}$ = $\frac{n!}{(n - r)! }$ The number of ways to fill the office $10_{{P}{_{3}}}$ = $\frac{10!}{(10 - 3)! }$ = $\frac{10\times9\times8\times7!}{7! }$ = $10\times9\times8$ = 720