perplexus.info :: Probability : Squares Probability II

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)

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

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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