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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> How many ways can six indistinguishable letters be put in three mail boxes? '' Hint'': One representation of this is given by a sequence <math>|</math>LL<math>|</math>L<math>|</math>LLL<math>|</math> where the <math>|</math>'s represent the part...")
 
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<div class="d-none"><math>
How many ways can six indistinguishable letters be put in three mail boxes?  '' Hint'': One representation of this is given by a
\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> How many ways can six indistinguishable letters be  
put in three mail boxes?  '' Hint'': One representation of this is given by a
sequence <math>|</math>LL<math>|</math>L<math>|</math>LLL<math>|</math> where the <math>|</math>'s represent the partitions for the boxes and
sequence <math>|</math>LL<math>|</math>L<math>|</math>LLL<math>|</math> where the <math>|</math>'s represent the partitions for the boxes and
the L's the letters.  Any possible way can be so described.  Note that we need two
the L's the letters.  Any possible way can be so described.  Note that we need two
bars at the ends and the remaining two bars and the six L's can be put in any order.
bars at the ends and the remaining two bars and the six L's can be put in any order.

Latest revision as of 23:05, 12 June 2024

How many ways can six indistinguishable letters be put in three mail boxes? Hint: One representation of this is given by a sequence [math]|[/math]LL[math]|[/math]L[math]|[/math]LLL[math]|[/math] where the [math]|[/math]'s represent the partitions for the boxes and the L's the letters. Any possible way can be so described. Note that we need two bars at the ends and the remaining two bars and the six L's can be put in any order.