Summary: Section 1.4B Counting: Combinations
1. A 10-member board self selects a president, a vice president, and a
treasurer. In how many ways can this be done? (Order matters)
10P3 =
10!
(10 - 3)!
=
10!
7!
= 10 × 9 × 8 = 720.
2. A 10-member board self selects a subcommittee of 3. In how many
ways can this be done? (Order no longer matters).
10P3
3!
=
10!
(10 - 3)!3!
=
10!
7!3!

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

Collections: Mathematics