Nine Digit Numbers

An Advanced Mathematics Lesson Starter Of The Day

How many different nine digit numbers are there that contain each of the digits from one to nine?

 

1 2 3 4 5 6 7 8 9

 

What percentage of them are multiples of nine?


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    Answer

    There are nine factorial (362880) of them and all 100% of them are multiples of nine (as the digits one to nine add up to a multiple of nine)

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