It's possible.
Here's some combinations of dollar bill denominations you can have that are over a dollar but you can't make change.
| Plan | 50 dollar | 20 dollar | 10 dollar | 5 dollar | 2 dollar | 1 dollar | Total |
|---|---|---|---|---|---|---|---|
| 269 | 1 | 2 | 1 | 13 | 101 | ||
| 270 | 1 | 2 | 1 | 14 | 103 | ||
| 271 | 1 | 2 | 3 | 8 | 101 | ||
| 272 | 1 | 2 | 3 | 9 | 103 | ||
| 273 | 1 | 2 | 5 | 3 | 101 | ||
| 274 | 1 | 2 | 5 | 4 | 103 | ||
| 275 | 1 | 3 | 1 | 8 | 101 | ||
| 276 | 1 | 3 | 1 | 9 | 103 | ||
| 271 | 1 | 3 | 3 | 3 | 101 | ||
| 278 | 1 | 3 | 3 | 4 | 103 | ||
| 279 | 1 | 4 | 1 | 3 | 101 | ||
| 280 | 1 | 4 | 1 | 4 | 103 | ||
| Plan | 50 dollar | 20 dollar | 10 dollar | 5 dollar | 2 dollar | 1 dollar | Total |
| 281 | 1 | 1 | 1 | 13 | 101 | ||
| 282 | 1 | 1 | 1 | 14 | 103 | ||
| 283 | 1 | 1 | 3 | 8 | 101 | ||
| 284 | 1 | 1 | 3 | 9 | 103 | ||
| 285 | 1 | 1 | 5 | 3 | 101 | ||
| 286 | 1 | 1 | 5 | 4 | 103 | ||
| 287 | 1 | 1 | 1 | 1 | 8 | 101 | |
| 288 | 1 | 1 | 1 | 1 | 9 | 103 | |
| 289 | 1 | 1 | 1 | 3 | 3 | 101 | |
| 290 | 1 | 1 | 1 | 3 | 4 | 103 | |
| 291 | 1 | 1 | 2 | 1 | 3 | 101 | |
| 292 | 1 | 1 | 2 | 1 | 4 | 103 | |
| 293 | 1 | 2 | 1 | 3 | 101 | ||
| 294 | 1 | 2 | 1 | 4 | 103 | ||
| 295 | 1 | 3 | 110 | ||||
| 296 | 1 | 3 | 1 | 111 | |||
| 291 | 1 | 3 | 2 | 112 | |||
| 298 | 1 | 3 | 3 | 113 | |||
| 299 | 1 | 3 | 4 | 114 | |||
| 300 | 1 | 3 | 5 | 115 | |||
| Plan | 50 dollar | 20 dollar | 10 dollar | 5 dollar | 2 dollar | 1 dollar | Total |
| 301 | 1 | 3 | 6 | 116 | |||
| 302 | 1 | 3 | 7 | 117 | |||
| 303 | 1 | 3 | 8 | 118 | |||
| 304 | 1 | 3 | 9 | 119 | |||
| Plan | 50 dollar | 20 dollar | 10 dollar | 5 dollar | 2 dollar | 1 dollar | Total |
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