Discrete Math Final Exam Review: Counting and Probability

A grocery store manager is trying to decide what types of pasta he wants to sell. There are 8 different types of pasta he could choose from, but he only has room on the shelf for 3 of the types. How many different ways can he choose 3 of the pastas to display on the grocery shelf?

• 56

• 24

• 336

• 6720

An ice cream parlor offers three choices of cones, 12 choices of flavors, and 6 choices of toppings. How many different ways can you order an ice cream cone if you only get 1 flavor and you get AT MOST 1 topping (you may decide to get no topping at all)?

Thanksgiving is approaching, and Chucky has his entire family coming to his house, so he's having to prepare a large meal. He lives on a farm where he raises ducks, turkeys, and chickens. He has 13 ducks, 6 turkeys, and 15 chickens. How many ways can he choose 3 ducks, 2 turkeys, and 4 chickens to slaughter for the Thanksgiving meal?

• 111

• 28,080

• 1,170

• 5,855,850

Tags

CCSS.HSA.APR.C.5

A group of 7 friends are in line for a roller coaster at an amusement park. When they get to the ride, they realize that there is only room for 4 of them to sit together, side by side, in the same section of the roller coaster. How many ways can they arrange themselves on the roller coaster at one time if someone sits in every available seat?

• 28

• 35

• 840

• 5040

How many ways can 8 decorative plates be arranged on a wall in a circular pattern?

*Don't include commas in your answer

A company is going to select 6 employees at random to attend a conference. Of the employees that are eligible to attend, 9 of them have just a bachelor's degree and 5 of them have a master's degree.

What is the approximate probability that exactly 4 of the employees that will attend the conference have just a bachelor's degree?

• 20.1%

• 42.0%

• 47.5%

• 50.9%

Tags

CCSS.HSS.CP.B.9

How many ways can the letters in the word TENNESSEE be arranged?

*Don't use a comma in your answer