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?a.49 different waysb.1 different wayc.210 different waysd.5040 different ways

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?a.2,162,160 different waysb.1 different wayc.84 different waysd.20,160 different ways

Compute the following:5!a.60b.120c.15d.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. Permutation; b. Permutation; c. Combination; d. Combination; Please select the best answer from the choices provided

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?a.2,704,156c.840.000331b.0.00033069d.240,240

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?a.100,000c.67,600b.676,000d.11,881,376

How many ways can an IRS auditor select 4 of 9 tax returns for an audit?a.126c.3024b.6561d.24

A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?a.120c.24b.4d.16

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.a.1287c.371,293b.154,440d.120

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? a. Combination; b. Permutation; c. Permutation; d. Combination; Please select the best answer from the choices provided