Factorials Fundamentals
A Grade 10 math worksheet covering the basics of factorials, including calculation, simplification, and problem-solving.
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Factorials Fundamentals
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. The 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. By definition, 0! is equal to .
3. What is the value of 4!?
12
24
6
1
4. Calculate 6! ÷ 3!.
6
120
720
24
5. Simplify the expression (n+1)! / n!.
6. Simplify the expression (n-2)! / (n-1)!.
7. 7! = 7 × 6!.
True
False
8. (3+2)! is equal to 3! + 2!.
True
False
9. In how many different ways can 5 distinct books be arranged on a shelf?
10. A photographer is arranging 4 people in a row for a picture. How many different arrangements are possible?
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