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Counting Principle Worksheet

A Grade 10 math worksheet covering fundamental counting principle, permutations, and combinations with real-world problems.

Grade 10 Math Probability and StatisticsCounting Principle
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

mathprobabilitycounting principlepermutationscombinationsgrade 10
7 sections · Free to use · Printable
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Counting Principle 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. A restaurant offers a dinner special with 3 appetizer choices, 5 main course choices, and 2 dessert choices. How many different dinner specials are possible?

a

10

b

15

c

30

d

60

2. The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are   ways to do both.

3. A permutation is an arrangement of items where the order  , while a combination is an arrangement where the order  .

4. How many different ways can the letters of the word 'MATH' be arranged?

5. A committee of 3 people needs to be chosen from a group of 7 volunteers. How many different committees can be formed?

6. The number of permutations of 'n' items taken 'r' at a time is given by the formula P(n, r) = n! / (n-r)!.

T

True

F

False

7. A license plate consists of 3 letters followed by 3 digits. If repetition of letters and digits is allowed, how many different license plates are possible?