exercise:E86690502c: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> In arranging people around a circular table, we take into account their seats relative to each other, not the actual position of any one person. Show that <math>n</math> people can be arranged around a circular table in <math>(n - 1)!</math> ways.") |
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In arranging people around a circular table, we take into account their seats relative to each other, not the actual position of any one | |||
account their seats relative to each other, not the actual position of any one | |||
person. Show that <math>n</math> people can be arranged around a circular table in <math>(n - 1)!</math> | person. Show that <math>n</math> people can be arranged around a circular table in <math>(n - 1)!</math> | ||
ways. | ways. | ||
Latest revision as of 23:42, 12 June 2024
In arranging people around a circular table, we take into account their seats relative to each other, not the actual position of any one person. Show that [math]n[/math] people can be arranged around a circular table in [math](n - 1)![/math] ways.