Each of A, B, C, D, E and F is a positive integer with A ≤ B ≤ C ≤ D ≤ E ≤ F ≤ 25.
Determine the total number of sextuplets (A ,B, C, D, E, F) such that (A+B+C)*(D+E+F) is divisible by 75.
(In reply to
re(3): Beginning of Analytical Solution by Ady TZIDON)
I don't deny that it's fairly straightforward to write a program to solve this. I'm just throwing out ideas and pondering whether it's possible to solve using, as the category implies, "just math."

Posted by DJ
on 20110506 11:07:03 