a club has 15 members. How many ways can the club choose a president, vice president, and treasurer? (club rules forbid one person from holding more than one office.) show all work
We'll use permutation from combinations in order to solve this problem. We have to find [tex]P_{15} ^{3} [/tex], which will be [tex] \frac{15!}{12!} = 15 * 14 * 13 = 2730[/tex]