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Counting Principle Worksheet

A Grade 11 Math worksheet covering the fundamental counting principle, permutations, and combinations.

Grade 11 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

counting principlepermutationscombinationsprobabilitystatisticsmathgrade 11
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 work where applicable.

1. A restaurant offers a dinner combo with 3 choices of appetizers, 5 choices of main courses, and 2 choices of desserts. How many different dinner combos are possible?

a

10

b

15

c

30

d

60

2. The number of ways to arrange 7 distinct books on a shelf is  .

3. If there are 4 different routes from city A to city B, and 3 different routes from city B to city C, then there are   different routes from city A to city C.

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

5. The number of ways to choose 3 students from a group of 10 for a committee (order does not matter) is given by 10P3.

T

True

F

False

6. A standard deck of 52 cards is used. How many different 5-card hands can be dealt?

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