Permutations and Combinations Answers

Suppose you have seven different sweatshirts, and wish to wear a different one each day of the week. In how many ways can this be done?

The governor is making a visit to your school and you need to assign seating for 14 students. Unfortunately there are only six seats in the front row. In how many different ways can you select and arrange the six lucky students?

Compute the following:5!

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?

A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possible?

License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?

How many ways can an IRS auditor select 4 of 9 tax returns for an audit?

A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?

In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to pick a subset of 3 different letters from the 26-letter alphabet?