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Factorials Fundamentals

A Grade 10 math worksheet covering the basics of factorials, including calculation, simplification, and problem-solving.

Grade 10 Math Probability and StatisticsFactorials
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSS.CP.B.9

Topics

MathFactorialsCombinatoricsProbabilityGrade 10
7 sections · Free to use · Printable
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Factorials Fundamentals

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Date:

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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!?

a

12

b

24

c

6

d

1

4. Calculate 6! ÷ 3!.

a

6

b

120

c

720

d

24

5. Simplify the expression (n+1)! / n!.

6. Simplify the expression (n-2)! / (n-1)!.

7. 7! = 7 × 6!.

T

True

F

False

8. (3+2)! is equal to 3! + 2!.

T

True

F

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?