Permutations — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Permutations (Combinatorics and Probability), each with the correct answer and a worked solution.

1. In how many ways can 6 different books be arranged on a shelf?
2. How many ways can a president, vice president, and secretary be chosen from a club of 10 members (distinct roles)?
3. In how many ways can the letters of the word "NUMBER" be arranged?
4. In how many distinct ways can the letters of the word "STATISTICS" be arranged?
5. How many ways can 4 men and 3 women be seated in a row if the 3 women must sit together?
6. In how many ways can 5 people be arranged in a row if two particular people must NOT sit next to each other?
7. How many distinguishable permutations are there of the letters in "MISSISSIPPI"?
8. From a group of 8 people, in how many ways can a chairperson, secretary, and treasurer (distinct roles) be selected?