There are 36 possible outcomes. But if the cubes are identical, then for every
possible outcome, there's another one that looks just like it, so only 18 that
you can identify.
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There are 65 = 7776 possible outcomes. However, if the number cubes are indistinguishable, then these represent 378 distinct outcomes.
A cube has six sides. Therefore this is impossible.
36
There are 36 (6 times 6) outcomes. These comprise 11 sums or differences, 18 products etc.
You get the sum of 11 two ways; 5,6 and 6,5.