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 Inverting Triangles (Posted on 2005-08-15)
A piece of paper had the following diagram:
```               o              o o o o
From:   o o         To:  o o o
o o o              o o
o o o o              o
```
Below it, it read "Given the initial formation of ten coins, move exactly # coins to produce the end formation." It was pretty obvious that # stood for a digit, but it was smudged and couldn't be read. What possible numbers could it have been so the problem was solvable?

To allow explaining the solution, number the coins like this:

```           0
1 2
3 4 5
6 7 8 9
```
Note: This problem was inspired by a forum question by Nicole.

 No Solution Yet Submitted by Erik O. Rating: 2.1429 (7 votes)

 Subject Author Date 8th solution Mindy Rodriguez 2005-11-22 23:33:54 solution ronwilliams 2005-11-09 10:46:31 re(3): 7 ways Will 2005-08-24 21:34:23 re(2): 7 ways Lisa 2005-08-16 09:49:31 re(2): 7 ways brianjn 2005-08-16 02:53:44 re: 7 ways Nosher 2005-08-16 02:37:50 re(3): 7 ways - your rules brianjn 2005-08-16 01:42:35 re(2): 7 ways - your rules owl 2005-08-15 15:23:34 re: 7 ways - your rules brianjn 2005-08-15 13:23:41 7 ways Lisa 2005-08-15 09:04:48 re: # = 3 solutions Plus Three brianjn 2005-08-15 05:47:15 Partial solutions and observations owl 2005-08-15 04:36:29 # = 3 solutions brianjn 2005-08-15 02:53:56 Solution Bractals 2005-08-15 02:46:19

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