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Grade 8 Permutations Worksheet

Understand and calculate permutations for various scenarios, including basic arrangements and problems involving repetition.

Grade 8 Math AlgebraPermutations
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathalgebrapermutationsgrade 8
7 sections · Free to use · Printable
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Grade 8 Permutations Worksheet

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

1. How many different ways can you arrange the letters in the word 'MATH'?

2. Eight students are competing in a race. In how many different ways can the first, second, and third place be awarded?

3. A permutation is an arrangement of objects in a specific  .

4. The formula for permutations of n items taken r at a time is P(n, r) = n! / (n - r)!

In this formula, '!' denotes the   function.

5. A lock combination consists of 3 digits, and each digit can be any number from 0-9. If digits cannot be repeated, how many possible combinations are there?

a

1000

b

720

c

504

d

120

6. A photographer is arranging 5 people in a line for a photo. How many different arrangements are possible?

a

5

b

25

c

120

d

625

7. How many distinct permutations can be made from the letters of the word 'MISSISSIPPI'?

8. The number of permutations of 'n' distinct objects is n!.

T

True

F

False

9. In a permutation, the order of selection does not matter.

T

True

F

False