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MATH HELP

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Will someone please explain and show
how to work this one:


How many different whole numbers can be made with the digits 5, 7, 8? For this problem, each different whole number may have 1, 2, or 3 digits and a digit may be repeated.

  • MATH HELP -

    With one digit, there are three possibilities, 5, 7 and 8

    With two digits, there are 3^2 = 9 possibilites:
    55, 57, 58
    75, 77, 78,
    85, 87, 88.

    With three digits, there are 3^3 = 27 possibilities.

    3 + 9 + 27 = 39

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