Possible results from three variables

Given three variables, say x, y, z with each variable being an integer
from 1 to 10, how many possible values are there from the equation of
x * y * z? The quickest and incorrect answer is 1000 (from 10x10x10).
This is wrong because some of the combinations actually the same, e.g.
1*2*4 = 1*4*2 = 4*1*2 = 1*8*1. Doing 10C3 is also wrong.

Is there any formula that we can use to find out the number of
possibilities for the different integer range (e.g. 1 - 5 or 1 - 8)?

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