Permutations - Worksheet 6 - 11th Grade

Medium

Use combinations, ordered arrangements and explicitly approximate normal-distribution rules.

medium: Practice the same exercise types with a fresh numbered set.

22 problems · 20-25 minutes · Skills: probability, permutations, counting

About This Worksheet

This medium-level worksheet contains 22 problems designed for 11th Grade students practicing counting principle & permutations. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Factor polynomials, use exponent laws and solve equations with domain restrictions.

  • Use combinations, ordered arrangements and explicitly approximate normal-distribution rules.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: How many ways can 3 distinct offices be assigned to 6 people, with no person holding two offices?
Solution Steps:
  1. Order matters: multiply the descending choices.
Answer: 120
Tip: Check your result using the method in the example before moving to the next question.
1
How many ways can 3 distinct offices be assigned to 5 people, with no person holding two offices?
2
How many ways can 3 distinct offices be assigned to 10 people, with no person holding two offices?
3
How many ways can 1 distinct offices be assigned to 6 people, with no person holding two offices?
4
How many ways can 1 distinct offices be assigned to 10 people, with no person holding two offices?
5
How many ways can 3 distinct offices be assigned to 7 people, with no person holding two offices?
6
How many ways can 2 distinct offices be assigned to 7 people, with no person holding two offices?
7
How many ways can 2 distinct offices be assigned to 8 people, with no person holding two offices?
8
How many ways can 3 distinct offices be assigned to 8 people, with no person holding two offices?
9
How many ways can 3 distinct offices be assigned to 6 people, with no person holding two offices?
10
How many ways can 3 distinct offices be assigned to 9 people, with no person holding two offices?
11
How many ways can 1 distinct offices be assigned to 8 people, with no person holding two offices?
12
How many ways can 1 distinct offices be assigned to 5 people, with no person holding two offices?
13
How many ways can 1 distinct offices be assigned to 9 people, with no person holding two offices?
14
How many ways can 2 distinct offices be assigned to 6 people, with no person holding two offices?
15
How many ways can 2 distinct offices be assigned to 4 people, with no person holding two offices?
16
How many ways can 2 distinct offices be assigned to 10 people, with no person holding two offices?
17
How many ways can 1 distinct offices be assigned to 4 people, with no person holding two offices?
18
How many ways can 2 distinct offices be assigned to 5 people, with no person holding two offices?
19
How many ways can 1 distinct offices be assigned to 7 people, with no person holding two offices?
20
How many ways can 2 distinct offices be assigned to 9 people, with no person holding two offices?
21
How many ways can 3 distinct offices be assigned to 4 people, with no person holding two offices?
22
How many ways can 2 distinct offices be assigned to 10 people, with no person holding two offices?

Answer Key

1. 602. 7203. 64. 105. 2106. 427. 568. 3369. 12010. 50411. 812. 513. 914. 3015. 1216. 9017. 418. 2019. 720. 7221. 2422. 90

Frequently Asked Questions

How do I download this permutations - worksheet 6 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this probability & statistics worksheet cover?

This worksheet focuses on probability, permutations, counting. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.