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Permutation List (Posted on 2003-07-23) Difficulty: 2 of 5
If all 720 permutations of 123456 are put in numerical order, what is the 407th pemutation?

  Submitted by Brian Smith    
Rating: 3.8571 (7 votes)
Solution: (Hide)
The 407th permutation is 426513.

Permutations 1xxxxx are #1 through 120. Permutations 2xxxxx are #121 through 240. Permutations 3xxxxx are #241 through 360. Permutations 4xxxxx are #361 through 480. Permutations 5xxxxx are #481 through 600. Permutations 6xxxxx are #601 through 720.

The 407th permutation begins with 4.

Permutations 41XXXX are #361 through 384. Permutations 42XXXX are #385 through 408. Permutations 43XXXX are #409 through 432. Permutations 45XXXX are #433 through 456. Permutations 46XXXX are #457 through 480.

The 407th permutation begins with 42.

Permutations 421XXX are #385 through 390. Permutations 423XXX are #391 through 396. Permutations 425XXX are #397 through 402. Permutations 426XXX are #403 through 408.

The 407th permutation begins with 426.

Permutation 426135 is #403. Permutation 426153 is #404. Permutation 426315 is #405. Permutation 426351 is #406. Permutation 426513 is #407. Permutation 426531 is #408.

The 407th permutation is 426513.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnswerMath Man2023-02-07 21:02:15
AnswerK Sengupta2008-03-12 00:02:05
SolutionAnother SolutionGamer2003-07-23 11:28:56
SolutionsolutionCharlie2003-07-23 09:44:07
Solutionre(2): cluelessexoticorn2003-07-23 09:34:13
Some Thoughtsre: cluelessLewis2003-07-23 09:19:48
QuestioncluelessViet2003-07-23 09:03:56
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