Construction of Permutations/Proof 1/Example

Example of Construction of Permutations

From the permutation of $4$ objects $3 1 2 4$, the following permutations of $5$ objects can be made as follows:

$5 3 1 2 4$
$3 5 1 2 4$
$3 1 5 2 4$
$3 1 2 5 4$
$3 1 2 4 5$


Sources

  • 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.5$: Permutations and Factorials: Exercise $3$