Question

Bowling team at Lincoln High School must choose a president, vice dent, and secretary. If the team has 15 members, how many ways could fficers be chosen ?

Answer 1

The number of ways to choose a president, vice-president, and secretary from a group of 15 people is the number of permutations of 15 people taken 3 at a time.

The formula for permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

Using this formula, we can calculate the number of ways to choose 3 officers from a group of 15:

P(15, 3) = 15! / (15 - 3)! = 15! / 12! = 15 x 14 x 13 = 2,730

Therefore, there are 2,730 ways to choose a president, vice-president, and secretary from a group of 15 people.