2 3 1 2 1 3

then the two 1s enclose 1 other digit, the two 2s enclose 2 other digits, and the two 3s enclose 3 other digits.

Can you find a similar arrangement using the seven pairs 1, 1, 2, 2,...7, 7?

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## Monday, January 14, 2008

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Seven Pairs of Numbers

A collection of puzzles, games, brain teasers, and nifty tricks to amaze and entertain you.

The staff at The Puzzle Page always enjoy seeing new puzzles and would love to hear from you. If you have a puzzle that's giving you problems, drop us a line -- we'd love to help.

If two 1s, two 2s and two 3s are arranged like this:

then the two 1s enclose 1 other digit, the two 2s enclose 2 other digits, and the two 3s enclose 3 other digits.

Can you find a similar arrangement using the seven pairs 1, 1, 2, 2,...7, 7?

2 3 1 2 1 3

then the two 1s enclose 1 other digit, the two 2s enclose 2 other digits, and the two 3s enclose 3 other digits.

Can you find a similar arrangement using the seven pairs 1, 1, 2, 2,...7, 7?

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## 3 comments:

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

no strategy, just determination.

It seems that for 1,1,2,2,...,n,n (n>=3) the solutions exist. If we denote a(n) the number of different arrangements, shall we calculate a(n) ?

Да уж. По поводу коментариев - навеяла на меня где-то услышанная фраза:

Именно НАША уникальная культура насчитывает более трех миллионов матерных частушек.

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