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 |
|---|---|---|---|---|---|---|---|
| 111 | 1 | 1 | 38 | 101 | |||
| 112 | 1 | 1 | 39 | 103 | |||
| 113 | 1 | 3 | 33 | 101 | |||
| 114 | 1 | 3 | 34 | 103 | |||
| 115 | 1 | 5 | 28 | 101 | |||
| 116 | 1 | 5 | 29 | 103 | |||
| 117 | 1 | 7 | 23 | 101 | |||
| 118 | 1 | 7 | 24 | 103 | |||
| 119 | 1 | 9 | 18 | 101 | |||
| 120 | 1 | 9 | 19 | 103 | |||
| Plan | 50 dollar | 20 dollar | 10 dollar | 5 dollar | 2 dollar | 1 dollar | Total |
| 121 | 1 | 11 | 13 | 101 | |||
| 122 | 1 | 11 | 14 | 103 | |||
| 123 | 1 | 13 | 8 | 101 | |||
| 124 | 1 | 13 | 9 | 103 | |||
| 125 | 1 | 15 | 3 | 101 | |||
| 126 | 1 | 15 | 4 | 103 | |||
| 127 | 1 | 1 | 1 | 33 | 101 | ||
| 128 | 1 | 1 | 1 | 34 | 103 | ||
| 129 | 1 | 1 | 3 | 28 | 101 | ||
| 130 | 1 | 1 | 3 | 29 | 103 | ||
| 131 | 1 | 1 | 5 | 23 | 101 | ||
| 132 | 1 | 1 | 5 | 24 | 103 | ||
| 133 | 1 | 1 | 7 | 18 | 101 | ||
| 134 | 1 | 1 | 7 | 19 | 103 | ||
| 135 | 1 | 1 | 9 | 13 | 101 | ||
| 136 | 1 | 1 | 9 | 14 | 103 | ||
| 137 | 1 | 1 | 11 | 8 | 101 | ||
| 138 | 1 | 1 | 11 | 9 | 103 | ||
| 139 | 1 | 1 | 13 | 3 | 101 | ||
| 140 | 1 | 1 | 13 | 4 | 103 | ||
| Plan | 50 dollar | 20 dollar | 10 dollar | 5 dollar | 2 dollar | 1 dollar | Total |
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