Kami Export - 12.7 ApplyingFundamentalPrincipleCounting worksheet.pdf

Name: Counting Activity
Applying the Fundamental Principle of Counting
In his closet, John has one red shirt, one blue shirt, one pair of shorts, one pair of jeans, and a pair of
slacks. List all of the possible shirt-and-pant combinations below.
1.
John discovered that he also has a pair of boots and a pair of dress shoes in his closet. Make a tree
diagram showing all of the possible shirt, pant, and shoe combinations.
2.
Jenny has six blouses, four different skirts, 20 different pairs of socks, and four pairs of shoes in her
closet at the end of the week.
Part 1: Explain why the methods used in the previous two problems would be inefficient in
determining the number of different outfits Jenny could wear.
Part 2: Using the Fundamental Principle of Counting, determine how many outfits Jenny could
wear. Don’t forget to show your work.
3.

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