Henry Ernest Dudeney/Puzzles and Curious Problems/108 - The Nine Digits/Solution

by : $108$

 * The Nine Digits

Solution
offers up:


 * $94 \, 857 \, 312 \times 6 = 569 \, 143 \, 872$

reports that has found $2$ more:


 * $89 \, 745 \, 321 \times 6 = 538 \, 471 \, 926$


 * $98 \, 745 \, 231 \times 6 = 592 \, 471 \, 386$

However, an exhaustive search using a simple computer program reveals that there are in fact $87$ solutions in total:


 * Try it online!