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March 24, 2017

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In base 5, how many two digit numbers are there?

  • Algebra - ,

    To find the number of 2-digit numbers in base 10, we find:
    1. for the first digit, there are 9 choices, as 0 is not admissible.
    2. for the second digit, there are all of the 10 choices.

    By the multiplication rule, the number of 2-digit base 10 numbers is (10-1)(10)=90.

    You can do a similar counting for base 5 numbers.

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