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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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Some Thoughts re(3): Beginning of Analytical Solution | Comment 5 of 7 |
(In reply to re(2): Beginning of Analytical Solution by DJ)

Re how to proceed, I believe it is a problem tailored to be solved by a simple straightforward software program, checking  all the possible 6tuples, like Charlie did.

Even if you succeed in your way of  counting, solving a similar  problem with ,say, 8-tuples and the upper limit of integers increased to 50 would be significantly harder, whereas in the program it is a question of adding 2 lines of code and  increasing the runtime , still within reason.

 Can't beat it.

Edited on May 5, 2011, 4:55 pm
  Posted by Ady TZIDON on 2011-05-05 10:24:54

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