perplexus.info :: Probability : Antimagic square

Antimagic square (Posted on 2011-07-12)

Let us place at random the digits from 1 to 9 into the cells of 3x3 square.
What is the probability of getting a configuration such that the 8 sums (3 rows, 3 columns and 2 main diagonals) will be represented by 8 distinct numbers?
Construct at least one such square.

Extra challenge:
Same two tasks for 4x4 square , numbers 1 to 16 and 10 distinct sums.

No Solution Yet Submitted by Ady TZIDON

Rating: 5.0000 (1 votes)

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

Subject	Author	Date
Monte Carlo simulation of 4x4 probability	Charlie	2011-07-13 12:00:48
re(4): computer solution ??????	Charlie	2011-07-13 11:41:12
re(3): computer solution ??????	Ady TZIDON	2011-07-13 03:20:19
re(2): computer solution	Charlie	2011-07-12 23:26:38
re(2): computer solution	Charlie	2011-07-12 23:15:35
re: computer solution	Ady TZIDON	2011-07-12 18:05:06
computer solution	Charlie	2011-07-12 16:29:00

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