# Tag Archives: Permutation of Digits

## Permutation of 4-digit and 5-digit numbers

Take a  4-digit number with no repeating digit.   Say,    1234. It has  24  possible permutations:   1234,   1243,   1324,   1342,   1423,   1432,   2134,   2143,   2314,   2341,   2413,   … Continue reading

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## Digit Permutations in various Powers

where the digits of   a^x   are permutations of the digits of   b^y     2^9 = 512                                         … Continue reading

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## Permutation of digits in Powers

What am I looking for? It’s easier to explain it thru an example: 11^3 = 1331 Notice that the first half of the digits of 11^3 are a permutation of the last half of the digits Here are two other … Continue reading

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## Powers & Permutation of Digits

Prove that the list of the numbers with the property described below is finite. I claim that you cannot find a k-digit number (k ≥ 12) with this property. N.B. There are less than 50,000 which have your property (in … Continue reading

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