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Quandaries & Queries
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 Topic: rearrangement
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 Rearrangements of 8028842 2009-07-17 From Con:How many different 7-digit numbers can be made by rearranging the digits in the number 8028842?Answered by Penny Nom. 0123456789 2009-03-25 From Dr.:Many years ago I discovered that there are 33 numbers which, when multiplied by 0123456789, simply rearrange the digits. Surprisingly (to me at least) is the fact that the digits of all of those 33 numbers add up to one of the 6 "cardinal" numbers 1, 2, 4, 5, 7, and 8. For example 6 + 2 = 8 and 62 X 0123456789 = 7654320918 etc. Another interesting (to me) fact is that only the cardinal numbers 1, 2, 4, 5, 7, and 8 rearrange the digits in the number 9876543210. My question is: "Is this known to anyone but me and the people I have told?"Answered by Robert Dawson. Rearrangements of the digits in 0123456789 2008-03-23 From Joe:Found a close problem but not quite. Using digits 0123456789, how can I figure what all the different possibilities would be without repeating any digits? I know that there are 10! possible answers but how can I figure out what they are?Answered by Stephen La Rocque.

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