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Counting Sextuplets (Posted on 2011-05-04) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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re(4): Beginning of Analytical Solution | Comment 6 of 7 |
(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 2011-05-06 11:07:03

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