Factorials Worksheet
A Grade 9 math worksheet focusing on understanding and calculating factorials, including word problems.
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Factorials Worksheet
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Read each question carefully and provide your answer. Show all your work for full credit.
1. A factorial of a non-negative integer 'n', denoted by n!, is the product of all positive integers less than or equal to n. For example, 5! = 5 × 4 × 3 × 2 × 1 = .
2. The value of 0! is defined as .
3. Factorials are commonly used in and .
4. Calculate 6!.
5. Calculate 4! + 3!.
6. Simplify the expression 8! / (6! × 2!).
7. Which of the following is equivalent to 7 × 6 × 5!?
7!
6!
5!
42
8. What is the value of 1!?
0
1
2
Undefined
9. In how many different ways can 5 distinct books be arranged on a shelf?
10. A photographer wants to arrange 3 friends in a line for a picture. In how many different orders can the friends be arranged?