Henry Ernest Dudeney/Puzzles and Curious Problems/90 - Summing the Digits

Puzzles and Curious Problems by Henry Ernest Dudeney: $90$

Summing the Digits

What is the sum of all the numbers that can be formed with all $9$ digits ($0$ excluded),

using each digit once and once only, in every number?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $90$. -- Summing the Digits
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $127$. Summing the Digits