Hi All,

As 'complex-looking' as this question might appear, it's actually rather simple. Pay careful attention to what the specific questions asks for - the number of DIFFERENT possible SUMS from 4 dice. Since we're dealing with some 'special' dice (some 12-sided and 20-sided dice), we have to adjust out math accordingly, but the possibilities are rather limited:

1) The minimum number on any given die is 1

2) The maximum possible sum would only occur if we took the 4 biggest possible dice and rolled the highest possible number on each.

With 4 dice, we could end up with any SUM between:

4 (if we rolled 1s on all 4 dice)

to

64 (if we rolled two 20s on the 20-sided dice and two 12s on the 12-sided dice).

Thus, there are only 61 possible sums.

Final Answer:

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Rich

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