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Counting Sextuplets (Posted on 2011-05-04)

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.

Submitted by K Sengupta

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Solution: (Hide)

There are 26550 such sextuplets. For an explanation,refer to the solution submitted by DJ in the comments

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(5): Beginning of Analytical Solution	Ady TZIDON	2011-05-07 12:13:30
re(4): Beginning of Analytical Solution	DJ	2011-05-06 11:07:03
re(3): Beginning of Analytical Solution	Ady TZIDON	2011-05-05 10:24:54
re(2): Beginning of Analytical Solution	DJ	2011-05-05 06:09:15
re: Beginning of Analytical Solution	Ady TZIDON	2011-05-04 23:45:09
Beginning of Analytical Solution	DJ	2011-05-04 21:55:22
computer solution	Charlie	2011-05-04 19:28:28

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