A note on the distribution of the different orderings of n objects-Reference-Cited by-同舟云学术

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A note on the distribution of the different orderings of n objects

Published:1947-01 Issue:1 Volume:43 Page:1-9
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Haden H. G.

Abstract

Suppose that we have n objects, which may conveniently be represented by the integers 1, 2, 3, …, n. The total number of ways in which they can be ordered is n!. Let the order 1, 2, 3, …, n, be termed the normal order. Any other order can be classified according to the minimum number of interchanges (of one number with an adjacent one) required to restore the normal order.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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