SOLUTION: The number of positive integral solution of abc=30 is

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Question 1136226: The number of positive integral solution of abc=30 is
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

abc+=30
30=+2%2A3%2A5
So, we have three different numbers to distribute into three boxes (a,b,c).
the number of ways of distributing the 2 into the three boxes must be highlight%283%29 ways
the number of ways of distributing the 3 into the three boxes must be highlight%283%29ways
the number of ways of distributing the 5 into the three boxes must be highlight%283%29 ways

So, we have a total of highlight%283%2A3%2A3%29=27 ways of distributing.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The number of positive integral solution of abc=30 is
------------
30 = 2*3*5
30 = 1*1*30
30 = 1*2*15
etc
If you meant to spec some restrictions, you have to say so.