I'm not sure what you are looking for from your instructions.
There are 9C3 = 84 three digit numbers whose digits are in increasing order from
left to right. The groups of consecutive ones are listed below.
123, 124, 125, 126, 127, 128, 129, <-- longest row of cosecutive integers.
134, 135, 136, 137, 138, 139,
145, 146, 147, 148, 149,
156, 157, 158, 159,
167, 168, 169,
178, 179,
189,
234, 235, 236, 237,238, 239,
245, 246, 247, 248, 249,
256, 257, 258, 259,
267, 268, 269,
278, 279,
289,
345, 346, 347, 348, 349,
356, 357, 358, 359,
367, 368, 369,
378, 379,
389,
456, 457, 458, 459,
467, 468, 469,
478, 479,
489,
567, 568, 569,
578, 579,
589,
678, 679,
689,
789.
Edwin
