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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> The Siwash University football team plays eight games in a season, winning three, losing three, and ending two in a tie. Show that the number of ways that this can happen is <math display="block"> {8 \choose 3}{5 \choose 3} = \frac {8!}{3!\,3!\...") |
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The Siwash University football team plays eight games in a season, winning three, losing three, and ending two in a tie. Show that | |||
games in a season, winning three, losing three, and ending two in a tie. Show that | |||
the number of ways that this can happen is | the number of ways that this can happen is | ||
Latest revision as of 23:03, 12 June 2024
The Siwash University football team plays eight games in a season, winning three, losing three, and ending two in a tie. Show that the number of ways that this can happen is
[[math]]
{8 \choose 3}{5 \choose 3} = \frac {8!}{3!\,3!\,2!}\ .
[[/math]]