Name____________________________
Period_______
Date____________
Permutations
1. How many distinct ways can the letters in the word PLANCHET be arranged?
2. How many distinct ways can the letters in the word INTERCHANGEABLE be arranged?
3. How many 9-digit Social Security numbers are possible if there are no restrictions on the digits
that can be used?
4. How many ways can the letters A, C, H, S be arranged into 3 letter strings
a. If letters can be repeated?
b. If letters cannot be repeated?
5. How many ways can the letters WXYZ be arranged into 5 – letter strings
a. If letters can be repeated?
b. If letters cannot be repeated?
6. How many radio station names are possible that start with K or W and consist of three or four
letters? (Examples: KFMA, WING, WLW, KCC)
7. The Festival of the Hills has seven candidates for Festival King and nine candidates for Festival
Queen. How many was can the King, Queen, and two First Runner – Ups be chose to form the
Festival Court?
8. A local shipping operation is selecting new leadership. There are seven finalists; one each will
become the chief executive officer (CEO), the chief operating officer (COO), and the chief
financial officer (CFO). In how many ways can the officers be selected from the finalists?
9. How many distinct ways can the letters in the word SUPERCALIFRAGILISTICEXPIALIDOCIOUS
be arranged?