We have three standard 6-sided dice, colored red, yellow, and green. In how many ways can we roll them to get a sum of 10? The dice are colored so that a red 2, yellow 3, and green 5 is a different roll from red 3, yellow 5, and green 2.
These are ALL the possible sums of 10 when rolling 3 colored dice:
136 145 154 163 226 235 244 253 262 316 325 334 343 352 361 415 424 433 442 451 514 523 532 541 613 622 631 Total = 27 different ways