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It's possible.
Here's some combinations of coins you can have that are over a dollar but you can't make change.
| Plan | 50 cent | 25 cent | 10 cent | 5 cent | 1 cent | Total |
|---|---|---|---|---|---|---|
| 1 | 1 | 8 | 1.05 | |||
| 2 | 1 | 8 | 1 | 1.06 | ||
| 3 | 1 | 8 | 2 | 1.07 | ||
| 4 | 1 | 8 | 3 | 1.08 | ||
| 5 | 1 | 8 | 4 | 1.09 | ||
| 6 | 1 | 9 | 1.15 | |||
| 7 | 1 | 9 | 1 | 1.16 | ||
| 8 | 1 | 9 | 2 | 1.17 | ||
| 9 | 1 | 9 | 3 | 1.18 | ||
| 10 | 1 | 9 | 4 | 1.19 | ||
| 11 | 3 | 3 | 1.05 | |||
| 12 | 3 | 3 | 1 | 1.06 | ||
| 13 | 3 | 3 | 2 | 1.07 | ||
| 14 | 3 | 3 | 3 | 1.08 | ||
| 15 | 3 | 3 | 4 | 1.09 | ||
| 16 | 3 | 4 | 1.15 | |||
| 17 | 3 | 4 | 1 | 1.16 | ||
| 18 | 3 | 4 | 2 | 1.17 | ||
| 19 | 3 | 4 | 3 | 1.18 | ||
| 20 | 3 | 4 | 4 | 1.19 | ||
| Plan | 50 cent | 25 cent | 10 cent | 5 cent | 1 cent | Total |
| 21 | 1 | 1 | 3 | 1.05 | ||
| 22 | 1 | 1 | 3 | 1 | 1.06 | |
| 23 | 1 | 1 | 3 | 2 | 1.07 | |
| 24 | 1 | 1 | 3 | 3 | 1.08 | |
| 25 | 1 | 1 | 3 | 4 | 1.09 | |
| 26 | 1 | 1 | 4 | 1.15 | ||
| 27 | 1 | 1 | 4 | 1 | 1.16 | |
| 28 | 1 | 1 | 4 | 2 | 1.17 | |
| 29 | 1 | 1 | 4 | 3 | 1.18 | |
| 30 | 1 | 1 | 4 | 4 | 1.19 | |
| Plan | 50 cent | 25 cent | 10 cent | 5 cent | 1 cent | Total |
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