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Nike allows users to customize their own pair of shoes. In this lesson, students use calculate how many color combinations are possible for the popular Nike Air Force 1 shoe. The answer? A LOT!

Sounds great…but is it? Students learn about the negative consequences of having too much choice, from “paralysis-by-analysis” to a loss of satisfaction. When we go shopping, how much is too much?

Students will

  • Calculate the number of possible color combinations for the Nike Air Force 1.
  • Analyze the advantages and disadvantages of having lots of options including paralysis-by-analysis.

Before you begin

It will be helpful if students are already familiar with describing sample spaces using organized lists or tree diagrams, and have developed an understanding of the Fundamental Counting Principle from simpler sample spaces. This lesson is an application of the Fundamental Counting Principle with a large sample space.

Common Core Standards

Content Standards
Mathematical Practices