Factorials Worksheet
A worksheet for 8th graders to practice calculating factorials and solving problems involving permutations.
Includes
Standards
Topics
Factorials Practice
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show your work where necessary.
1. A factorial, denoted by an exclamation mark (!), is the product of all positive less than or equal to a given positive integer.
2. For example, 5! = 5 × 4 × 3 × 2 × 1 = .
3. The factorial of 0, denoted as 0!, is defined as .
4. Calculate the value of 6!.
5. What is the value of 4!?
6. Which of the following expressions is equivalent to 7! / 3!?
7 × 6 × 5 × 4
7 × 6 × 5 × 4 × 3 × 2 × 1
7 × 6 × 5
7 / 3
7. How many different ways can 4 students be arranged in a line?
8
12
24
36
8. The value of 1! is 1.
True
False
9. Factorials are used to calculate combinations when order does not matter.
True
False
10. In how many distinct ways can the letters of the word 'MATH' be arranged?
11. A chef wants to arrange 5 different appetizers on a tray. How many different arrangements are possible?