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Thread: Factorizing

  1. #1
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    Factorizing

    I am trying to compete with my teenage daughter.

    Question:

    In a 6 figure number where the first number cannot be zero but the other five
    can be any number, how many different 6 figure numbers can there be ?
    Also I would like the formula for calculating same.
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  2. #2
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    Consider the amount of possible outcomes.

    For example for a three digit number it is 9 * 10*10
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  3. #3
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    Yes but what is the answer and what is the formula. I am just a simple father.
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  4. #4
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    Quote Originally Posted by divorce4 View Post
    Yes but what is the answer and what is the formula. I am just a simple father.
    There are 9\cdot 10^{N-1} N-digits positive integers which do not begin with zero.

    Does that help?
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  5. #5
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    There are 999999 six digit numbers. The first 99999 of them have a leading 0 so 999999- 99999 of them do not have a leading 0.

    What is this competition with your daughter? To see who can first get someone else to do the problem for them?

    (And why was this titled "factorizing"?)
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