perplexus.info :: Just Math : How many solutions?

How many solutions? (Posted on 2015-03-30)

How many non-negative integral solutions
of the equation x + y + z =N exist?

No Solution Yet Submitted by Ady TZIDON

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Puzzle Answer

| Comment 2 of 3 |

There are precisely comb(N+2, 2) = (N+1)(N+2)/2 nonnegative integer solutions to the equation x+y×z=N

**** Full explanation to follow soon.

Posted by K Sengupta on 2022-09-02 00:29:48

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