Mathematics

7th

grade

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Fundamental Counting Principle

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  • 1. Multiple Choice
    15 minutes
    1 pt

    The fundamental counting principle

    Tells you the probability of an event.

    Tells you how many different possible outcomes there are.

    Helps you convert a fraction into a percent.

    Shows you the outcomes that don't appear in a tree diagram.

  • 2. Multiple Choice
    15 minutes
    1 pt

    Use the fundamental counting principle to find the total number of possible outcomes for my smartphone lock screen if I have to use 4 different numbers from 0-9, and I can reuse numbers. (For instance, I could use "1111")

    6,561, because 9 x 9 x 9 x 9 = 6,561

    5,040, because 10 x 9 x 8 x 7 = 5,040

    10,000, because 10 x 10 x 10 x 10 = 10,000

    1111, because that's the number in the problem.

  • 3. Multiple Choice
    15 minutes
    1 pt

    Using the fundamental counting principle, how many different possible codes are there to lock my iPhone if I use 4 digits, each digit has to be a number from 0-9, and I cannot use the same number twice? (For instance, I could use codes like 1234)

    5,040, because 10 x 9 x 8 x 7 = 5,040

    1234, because that's the number in the problem

    10,000 because 10 x 10 x 10 x 10 = 10,000

    40, because 10 + 10 + 10 + 10 = 40

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