perplexus.info :: Probability : 3x3 Grid Near Magic

3x3 Grid Near Magic (Posted on 2009-12-05)

N is a 3x3 square grid which is constituted by using each of the digits from 1 to 9 exactly once.

Determine the probability that the first digit minus the second digit plus the third digit in each row (reading left to right), each column (reading top to bottom), and each main diagonal (reading top to bottom) of N is the same.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

The required probability is: 8/9! = 1/45360
For an explanation, refer to the solution submitted by Steve Herman in this location.
*** Based on dan�s math, problem of the week, problem # 260.

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

Subject	Author	Date
I stand on the shoulders of giants	Steve Herman	2009-12-06 22:15:38
re: Analytical Solution (spoiler)	brianjn	2009-12-06 05:26:37
Analytical Solution (spoiler)	Steve Herman	2009-12-06 03:41:42
A different computer listing.	brianjn	2009-12-05 19:31:33
Different program; same answer	Charlie	2009-12-05 14:34:04
computer solution	Daniel	2009-12-05 13:12:45

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