
The permutation of

Answer to Problem 1E
The permutation 31524 is followed by
Explanation of Solution
Algorithm used:
Begin with
While there exists a mobile integer, do the following:
(1) Find the largest mobile integer m.
(2) Switch m and the adjacent integer to which its arrow points.
(3) Switch the direction of all the arrows above integers p with
Calculation:
The permutations of
According to the algorithm mentioned above, for each row
The permutation 3124 appears on row 9 which is odd and so, for this row the 5's are inserted from right to left.
Thus, the permutation 31524 is followed by
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Chapter 4 Solutions
Introductory Combinatorics
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