Pandigital Integer Formed by Digits in Alphabetical Order
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Theorem
The number $8 \, 549 \, 176 \, 320$ is the pandigital integer formed from the digits from $0$ to $9$ arranged in alphabetical order.
Proof
| \(\ds \) | \(\) | \(\ds 8\) | eight | |||||||||||
| \(\ds \) | \(\) | \(\ds 5\) | five | |||||||||||
| \(\ds \) | \(\) | \(\ds 4\) | four | |||||||||||
| \(\ds \) | \(\) | \(\ds 9\) | nine | |||||||||||
| \(\ds \) | \(\) | \(\ds 1\) | one | |||||||||||
| \(\ds \) | \(\) | \(\ds 7\) | seven | |||||||||||
| \(\ds \) | \(\) | \(\ds 6\) | six | |||||||||||
| \(\ds \) | \(\) | \(\ds 3\) | three | |||||||||||
| \(\ds \) | \(\) | \(\ds 2\) | two | |||||||||||
| \(\ds \) | \(\) | \(\ds 0\) | zero |
$\blacksquare$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $8,549,176,320$