There are two basic approaches we can use:
- Pick a number and see which displays could match it, or
- Pick a display and see which numbers it could match.
Let's apply the second approach to all the displays and then begin a process of elimination.
We see that one of them can only be an 8. Because we've eliminated the 8, we can identify two others. The last display on the top row is 9, and the last one on the bottom row is 6. Now we can identify two more. The first display on the bottom row must be 2; the third display on the bottom row must be 0.
If we apply the first approach, we see that only the fourth display on the bottom row can be the number 1. Knowing this, the digit above the 1 must be a 7 and the first display on the top row must be 4. Of the two remaining displays, the second display on the top row must be 5 and the third display must be 3.
The answer is 4, 5, 3, 7, 9, 2, 8, 0, 1, and 6.
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