Practice Problems on Permutation Formula

1. There are 4 different colors to paint a car. How many unique color combinations are there if order matters (e.g., red-blue-green is different from green-blue-red)?

2. A club has 10 members and needs to choose a president and vice president. How many ways can they do this if order matters (i.e., president then vice president is different from vice president then president)?

3. A bookshelf has space for 8 books. How many unique ways can you arrange 5 different books on the shelf?

4. A password needs to be 6 characters long, created from the letters A-Z (uppercase only) and the digits 0-9. How many unique passwords are possible if repetition is allowed (same character can be used multiple times)?

5. A team needs to choose a captain and vice captain from 7 players. How many ways can they do this if order doesn’t matter (i.e., captain then vice captain is the same as vice captain then captain)?

Permutation Formula

Permutation Formula: In mathematics, permutation relates to the method of organizing all the members of a group into some series or design. In further terms, if the group is already completed, then the redirecting of its components is called the method of permuting. Permutations take place, in better or slightly effective methods, in almost every district of mathematics. They usually occur when different directions on detailed restricted sites are monitored.

Table of Content