11/28/21, 7:25 PMPrint Questions
1. A restaurant offers 10 appetizers and 7 main courses. In how many ways can a person order atwo-course meal?
There are
ways a person can order atwo-course meal.
2. A popular brand of pen is available in 12 colors and 4 writing tips. How many different choices of pens do you have with this
brand?
There are
different choices of pens with this brand.
3. An ice cream store sells 3 drinks, in 3 sizes, and 6 flavors. In how many ways can a customer order adrink?
There are
ways that the customer can order a drink.
4. A restaurant offers the following limited lunch menu.
Main Courses
Turkey, Spaghetti, Meatloaf, Shrimp, Hamburger
Vegetables
Peas, Squash, Cauliflower, Eggplant
Beverages
Coffee, Tea, Milk, Soda
Desserts
Ice Cream, Brownies
If one item is selected from each of the fourgroups, in how many ways can a meal beordered?
There are
ways a meal can be ordered.
5. Explain the Fundamental Counting Principle.
Choose the correct answer below.
A. If you can choose one item from a group of M items and a second item from a group of N
items, then the total number oftwo-item choices is M • N.
B. If you can choose one item from a group of M items and a second item from a group of N
items, then the total number oftwo-item choices is N • N.
C. If you can choose one item from a group of M items and a second item from a group of N
items, then the total number oftwo-item choices is M • M.
D. If you can choose one item from a group of M items and a second item from a group of N
items, then the total number oftwo-item choices is M + N.
6. There are six performers who will present their comedy acts this weekend at a comedy club. How many different ways are
there to schedule theirappearances?
ways
(Type a wholenumber.)
7. You need to arrange six of your favorite books along a small shelf. How many different ways can you arrange thebooks,
assuming that the order of the books makes a difference toyou?
ways
(Type a wholenumber.)
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11/28/21, 7:25 PM
Print Questions
8. Evaluate the factorial expression.
26!
23!
26!
23!
=
9. Evaluate the factorial expression.
305!
304!
305!
304!
=
10. Evaluate the factorial expression.
8!
(8 − 2)!
8!
(8 − 2)!
=
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