Table 2.
Combinations of positive/negative phenotypes in a 5-marker panel.
| Number of markers (M) |
Number of +/- gates given M markers (G) |
Combinations | Number of combinations of M markers in a 5 marker panel (C) | Number of gates times number of combinations (G × C) |
|---|---|---|---|---|
| 0 | 20 = 1 | No markers specified | 1 | 1 |
| 1 | 21 = 2 | A, B, C, D, E | 5 | 10 |
| 2 | 22 = 4 | AB, AC, AD, AE, BC, BD, BE, CD, CE, DE | 10 | 40 |
| 3 | 23 = 8 | ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE | 10 | 80 |
| 4 | 24 = 16 | ABCD, ABCE, ABDE, ACDE, BCDE | 5 | 80 |
| 5 | 25 = 32 | ABCDE | 1 | 32 |
| TOTAL = 243 | ||||
This table illustrates the total number of positive/negative gates in a 5-marker panel, with hypothetical markers A, B, C, D and E. There are five possible 1-marker combinations, ten 2-marker combinations, ten 3-marker combinations, five 4-marker combinations, and one 5-marker combination. For each combination, there are 2M positive/negative gates where M is the number of markers in the combinations. Thus, there are 243 possible phenotypes in a 5 marker experiment. This generalizes to 3M.