There are 40 ways to make sums of three distinct positive integers total 25. (1+2+22 is such a sum, but 1+12+12 and 1+2+3+19 are not.)

How many different ways can three distinct positive integers sum to 1000?

(In reply to re(2): With a little help from awk by Charlie)

Oh, yes, that original answer had a 3 instead of a 2 in the thousands position.

Posted by Charlie on 2004-07-22 10:46:56