Each of the nine letters A through I represents a different digit from 1 through 9, but not necessarily in that order. ABC, DEF, and GHI are three different three-digit integers.
What is the maximum possible product of these three numbers, and what is the minimum possible product?In other words, assign different values to each letter so that ABC x DEF x GHI will be as large as possible, and then make it as small as possible.
Solution to the Problem:
The maximum product is 611,721,516 when the letters have the following values:
| A | B | C | D | E | F | G | H | I | |||
| 9 | 4 | 1 | x | 8 | 5 | 2 | x | 7 | 6 | 3 | = 611,721,516 |
The minimum product is 13,994,694 when the letters have the following values:
| A | B | C | D | E | F | G | H | I | |||
| 1 | 4 | 7 | x | 2 | 5 | 8 | x | 3 | 6 | 9 | = 13,994,694 |
Correctly solved by:
| 1. K. Sengupta | Calcutta, INDIA |
| 2. John Funk | Ventura, California |