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# Arrangement, Again and Again

## Question

Inspired by I thought I would give my own.

2,4,3,1,6,5,7

3,7,5,6,1,8,2,4

2,7,6,3,9,4,8,5,1

1) What would it be for 10 numbers? What method am I using?

Here's another one (but it is (hopefully) harder, so I'll give all of them up to 9):

1

1,2

1,2,3

4,1,3,2

3,1,4,5,2

6,3,2,5,4,1

1,4,3,2,6,5,7

5,7,8,6,4,1,3,2

4,5,8,6,2,7,3,1,9

2) What is the order for 10 numbers? What is the method?

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## 1 answer to this question

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The title is a hint and "arrangement" is referring to wolfgang's method.

I didn't initially have the second question, but the title is also a hint for it.

So why did I include "again and again" in the title if I originally only had 1 question?

Look how similar the orderings of 7 items are to wolfgang's ordering for 7.

The results for the smaller ones for the first method as well as observations:

1 (Surprise!)

2,1 (same as for wolfgang's)

1,3,2 (same as for wolfgang's)

2,3,1,4 (oddly enough, the reverse of the ordering for the second method)

3,2,4,1,5 (position of 3 and 4 are the same in the second method)

5,4,2,6,3,1 (position of 2 is the same as in the second method)

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