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Grade 9 Permutations Worksheet

This worksheet focuses on understanding and calculating permutations for grade 9 math students.

Grade 9 Math AlgebraPermutations
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

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

Topics

mathgrade 9permutationsalgebracounting principle
7 sections · Free to use · Printable
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Grade 9 Permutations Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.

1. Which of the following best describes a permutation?

a

An arrangement of objects where order does not matter.

b

A selection of objects where order does not matter.

c

An arrangement of objects where order matters.

d

A selection of objects where order matters.

2. What is the value of 5! (5 factorial)?

a

10

b

25

c

120

d

720

3. The formula for permutations of n objects taken r at a time is P(n, r) =  .

4. If there are 7 distinct books, the number of ways to arrange them on a shelf is  .

5. A club has 10 members. In how many ways can a president and a vice-president be chosen?

6. How many different three-digit numbers can be formed using the digits 1, 2, 3, 4, 5 if no digit can be repeated?

7. The number of permutations of n objects taken n at a time is n!.

T

True

F

False

8. Permutations are used when the order of selection does not matter.

T

True

F

False

Match the term with its definition.

9. Factorial

 

a. An arrangement of objects where order matters.

10. Permutation

 

b. The product of an integer and all the positive integers below it.

11. Combination

 

c. A selection of objects where order does not matter.