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How many integers below 10^46 have all their digits the same?

I've found this math site where the questions are just destructive.

Update:

It definitely has something to do with combinations.

2 Answers

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  • Stefan
    Lv 5
    6 years ago

    Thanks, but I managed to find the answer.

    Basically we have a 46 digit limit.

    As 10^46 = 1 and 46 zeros, and the number cannot exceed 10^46

    So if we consider 111111111 for 46 digits, and for 45, and so on so forth till it's just 1, we have 46 integers which just have 1 as their digits.

    So as there are 9 different digits which are integers, 9*46 = 414.

  • 6 years ago

    There are infinitely many. -1, -11, -111, ... etc

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