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Location, location (Posted on 2020-08-21) Difficulty: 3 of 5
The 7 unique letters of the word PERPLEXUS are permuted in all possible ways and then the new “words” are listed alphabetically.

What "word" is at position 2020 in this list? .

No Solution Yet Submitted by Ady TZIDON    
Rating: 1.0000 (1 votes)

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re(2): soln? | Comment 4 of 5 |
(In reply to re: soln? by Dej Mar)

I used pretty much the same technique but without the rotation.


E will be the first letter for the first 720 entries, L for the second group of 720, and P for the third.  I stopped there since 2020 lies between 1441 and 2160. 

It was easy working with a calculator.  Divide 2020 by 720, round up to 3, take the third entry and scratch it out.  Reduce the range (1441 and 2020 after step 1) and repeat for the next lowest factorial value. 



  Posted by xdog on 2020-08-24 09:55:10
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