Answer: 210
Work Shown:
7 ways to pick the president.
6 ways to pick the VP
5 ways to pick the secretary
7*6*5 = 210 ways to pick the three people from a pool of seven. Order matters because the positions are different. Note the count down from 7 to 6 to 5 which indicates that any given person cannot run for more than one office.
You can use the permutation formula with n = 7 and r = 3
The permutation formula is [tex]_n P_r = \frac{n!}{(n-r)!}[/tex] where the exclamation marks represent factorials.
