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An elevator takes on six passengers and stops at ten floors. We can assign two different equiprobable measures for the ways that the passengers are
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discharged: (a) we consider the passengers to be distinguishable or (b) we consider them to be indistinguishable (see [[exercise:Dfce574f95 |Exercise]] for this case).  For each case, calculate the probability that all the passengers get off at different floors.
\newcommand{\mat}[1]{{\bf#1}}
\newcommand{\exref}[1]{\ref{##1}}
\newcommand{\secstoprocess}{\all}
\newcommand{\NA}{{\rm NA}}
\newcommand{\mathds}{\mathbb}</math></div> An elevator takes on six passengers and stops at ten floors.  
We can assign two different equiprobable measures for the ways that the passengers are
discharged: (a) we consider the passengers to be distinguishable or (b) we consider
them to be indistinguishable (see Exercise [[exercise:Dfce574f95 |Exercise]] for this case).  For
each case, calculate the probability that all the passengers get off at different
floors.

Latest revision as of 00:09, 13 June 2024

An elevator takes on six passengers and stops at ten floors. We can assign two different equiprobable measures for the ways that the passengers are discharged: (a) we consider the passengers to be distinguishable or (b) we consider them to be indistinguishable (see Exercise for this case). For each case, calculate the probability that all the passengers get off at different floors.