Probability

Combinations

3. In his costume supplies, Elmo the clown has 4 noses, 3 pairs of lips, and 2 wigs. A clown costume consists of 1 nose, 1 pair of lips, and 1 wig. How many different clown costumes can Elmo make?

2017 June(74C) Math Question 3

2013 April(71G) Math Question 6

2012 June(70C) Math Question 7

8. Yvette has 6 pairs of leggings, 2 pairs of shoes, and 6 T-shirts, which all go together well. How many different groupings consisting of 1  of her 6 pairs of leggings, 1  of her 2 pairs of shoes, and 1  of her 6 T-shirts are available for Yvette to wear?

2021 April(D05) Math Question 8

2018 December(B05) Math Question 9

2009 June(67C) Math Question 12

18. How many different possible orders of pasta can a person get?

2015 December(72E) Math Question 18

2019 April(Z15) Math Question 20

22. The mayor of Westbrook is deciding how to assign the 6 council members to the row of seats below.

2018 June(A11) Math Question 22

25. Audrey will take biology, algebra, and Spanish next year. Audrey will have 1 of the 3 teachers who teach biology, 1 of the 4 teachers who teach algebra, and I of the 2 teachers who teach Spanish. From among these 9 teachers, how many possibilities are there for Audrey's 3 teachers for the 3 classes?

2015 April(73G) Math Question 25

2011 June(69F) Math Question 27

30. A committee will be selected from a group of 12 women and 18 men. The committee will consist of 5 women and 5 men. Which of the following expressions gives the number of different committees that could be selected from these 30 people?

2016 December(74H) Math Question 30

2010 June(68C) Math Question 31

2020 July(C01) Math Question 32

2020 June(C02) Math Question 34

2020 June(C02) Math Question 38

43. A bin contains 100 Style A notebooks, 100 Style B notebooks, and 100 Style C notebooks. Antoine will select 3 notebooks from the bin. How many different selections of 3 notebook styles are possible? (Note: The order in which the notebooks are selected does not matter.)

2014 April(71H) Math Question 43

2010 December(69A) Math Question 43

2009 December(68A) Math Question 46

47. In a window display at a flower shop, there are 3 spots for 1 plant each. To fill these 3 spots, Emily has 6 plants to select from, each of a different type. Selecting from the 6 plants, Emily can make how many possible display arrangements with 1 plant in each spot? (Note: The positions of the unselected plants do not matter.)

Permutations

2021 April(Z04) Math Question 47

50. Use the following information to answer questions 50–52. Terri is a dress designer and owns a retail store. She designs, produces, and sells 5 dress styles. These styles and the production cost of 1 dress of each style are shown in the table below.  50. Terri will hang 1 dress of each style along a rod in the window of her store. How many total possible orders (permutations) of these dresses are there for Terri to consider?

2021 April(D05) Math Question 50

51. Get-A-Great-Read Books is adding a new phone line. The phone company says that the first 3 digits of the phone number must be 555, but the remaining 4 digits, where each digit is a digit from 0 through 9, can be chosen by Get-A-Great-Read Books. How many phone numbers are possible?

2017 June(74C) Math Question 51

2019 April(B04) Math Question 53

53. The employees at a hotel reservation center assign an 8-digit confirmation number (CN) to each customer making a reservation. The first digit in each CN is 8. The other 7 digits can be any digit 0 through 9, and digits may repeat. How many possible 8-digit CNs are there?

2016 December(74H) Math Question 53

2010 December(69A) Math Question 56

60. Of the 16 cars on a rental-car lot, 6 are minivans, 7 are sedans, and 3 are hatchbacks. Thalia will rent 3 of these cars, chosen at random, for business associates. What is the probability that Thalia will rent 1 of each of the 3 types of cars?

CombinationsProbabilityACT math questions

2017 June(74C) Math Question 3

2013 April(71G) Math Question 6