How many ways are there of tying a tie?

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I am sorry if this is useless.

I have read in a newspaper that mathematicians have found the number of ways a tie can be tied. How could such a problem be solved?

I'm asking out of curiosity.

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You can read the solution to your question here http://en.wikipedia.org/wiki/The_85_Ways_to_Tie_a_Tie. [solution of 1999, seems outdated]