Permutations - Solve Counting Problems

Worksheet (Algebra)

PDF: Algebra, Statistics & Probability - permutations

Permutations - Solve Counting Problems Worksheet

This free probability worksheet contains problems on permutations. Students must solve counting related problems using the theorem for permutations.


To solve counting problems using permutations


Number of Problems: 




Answer Key: 


Samples: Worksheet

Determine the value:
1) How many numbers of 3 different digits can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9?

2) How many numbers of at most 3 different digits each can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8,9?

3) In how many ways can 4 boys and 3 girls be seated in a row containing seven seats

a) If they sit anywhere.
b) If the girls and boys must alternate.

4) A baseball manager insists on having his best hitter bat fourth and the pitcher bat last. How many batting orders are possible?

5) A language teacher wants to keep books of the same language together on his shelf. If he has 12 spaces for 5 French, 4 Italian, and 3 German books, in how many ways can they be placed on his shelf?

6) In how many ways can 8 people be seated around a table if 2 people insist of sitting next to each other?

7) How many license plates can be made using any two letters for the first 2 places and any of the numbers 0 through 9 for the last 3 given that no letter or number is repeated?

8) How many permutations are there of the letters of the word “Tennessee”?

9) In how many ways can 7 different colored beads be made into a bracelet?

10) Solve: P(n,5) = 20P(n, 3) for n.

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