Free Printable Permutations/Combinations/Counting Principle

Worksheets

Permutations/Combinations/Counting Principle

Total questions: 14

Worksheet time: 4hrs 30mins

Name

Class

Date

How many ways can you arrange the letters in the word FACTOR?

₆P₆=720

₆C₆=1

6 x 5 = 30

120 ways

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.

₁₅C₂=105

₁₅P₂=210

15 x 2 = 30

100 ways

How many ways can 5 books be arranged on a shelf?

120

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

180

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips, salad, and beverage can be ordered?

270

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

1/8

7/8

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

840

3,628,800

Johnny's mother had three children. The first was named April. The second child was named May. What was the third child's name?

June

July

March

None of these

The golf club can send a team of four students to the next golf tournament. If there are 15 students in the club, how many different teams of four can be selected?

1365

259459200

50625

10.

There are 18 students playing Quizizz in math class. How many ways can they win the gold, silver, and bronze places on the podium?

816

5832

4896

11.

What would you use to solve the problem?

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

Permutation

Combination

Counting Principle

Factorial

12.

There are 5 apples and you take 3. How many apples do you have?

13.

When Jack bought his new truck, there were 96 different ways his truck could be equipped. He had four choices of engines and two choices of transmissions. If the only other choice was color, how many colors were available?

14.

Melanie is taking four classes this semester: American History, Algebra 2, AP English, and Chemistry. How many ways can these four classes be arranged on her schedule?

153

765

824

Reset

Permutations/Combinations/Counting Principle

Total questions: 14

Worksheet time: 4hrs 30mins

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