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 Squares Probability II (Posted on 2004-03-23)
You have created a 19 digit number with your 20 digit tiles as follows:

7_340_46_2010_51_49

Unfortunately someone knocked out 5 of the number tiles and placed them with the remaining number tile. The 6 tiles that are out are 6 3 2 8 9 3.

Without using any calculators, programs, or similar devices, what is the easiest way to figure out what the probability that my original 19-digit number will be a perfect square and what is this probability?

Note: The pesky "someone" also renumbered the number tiles so they were wrong and you couldn't tell what the right numbers are. This has been fixed to make the problem easier.

 No Solution Yet Submitted by Gamer Rating: 2.3333 (3 votes)

 Subject Author Date Using Renumbered Tiles Gamer 2004-07-20 16:23:28 Charlie sure takes this stuff seriously Penny 2004-03-24 05:34:39 re(2): with a computer (or a table of squares) Charlie 2004-03-23 20:58:57 re: with a computer (or a table of squares) Ady TZIDON 2004-03-23 18:02:28 EASY does it Ady TZIDON 2004-03-23 17:38:43 re: Too simple/naive?? Iain 2004-03-23 16:13:43 re(2): Some more thoughts Iain 2004-03-23 16:10:34 Too simple/naive?? nikki 2004-03-23 16:07:58 re: Some more thoughts Gamer 2004-03-23 15:58:35 Some more thoughts Iain 2004-03-23 15:56:03 Some thoughts Federico Kereki 2004-03-23 15:12:39 Wording dispute Iain 2004-03-23 14:59:21 with a computer (or a table of squares) Charlie 2004-03-23 14:57:04 without a calculator Charlie 2004-03-23 14:44:45 First thought... Iain 2004-03-23 14:40:31

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