Free Printable permutations

Worksheets

permutations

Total questions: 20

Worksheet time: 2hrs 59mins

Name

Class

Date

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

How many ways can you listen to 3 songs from a CD that has 12 selections?

1320

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

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

Picking a President, Vice-President, and Secretary from a group of 12.

Permutation

Combination

What is the value of 5!

120

720

9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

362,880

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

What does the P stand for in _nP_r?

Partners

Positions

Papers

Permutations

10.

In how many ways can 3 different vases be arranged on a tray?

11.

₇P₂

210

12.

Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

3628800

100

1814400

13.

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9? No digits repeat.

729

1000

720

14.

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

720

100

500

15.

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

324

4,896

816

16.

How many ways can you arrange 7 books on a shelf?

343

5,040

17.

How many ways can you arrange 2 letters from the word

S Q U A R E?

140

320

18.

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

100

19.

How many ways can you listen to 4 songs from a CD that has 12 selections?

11,880

1,320

95,040

20.

How many identification codes are possible using 4 letters if no letter may be repeated?

15,600

358,800

7,893,600

Reset

permutations

Total questions: 20

Worksheet time: 2hrs 59mins

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