2 Questions, I think I got the first one:
a) How many solutions exist to the equation x + y + z = 15, where x, y, and z have to be non-negative integers?
C(17,2) = 136 ... correct?
b) How many solutions exist to the equation xyz = 3^6 * 2 ^ 13, where x, y, and z have to be positive integers?
No idea...
Hello, billym!
You have the right idea, but your answer is slightly off.a) How many solutions exist to the equation
where are non-negative integers?
["Non-negative integers" include the zero.]
We have 15 objects in a row: .
There are 17 spaces before, after, and between them.
We will place two "dividers" in any of the 17 spaces.
There are 17 choices for the first divider, and 17 choices for the second.
There are: . solutions.
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