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Cleaned up combinatorics handout

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Mark 2023-07-09 21:35:00 -07:00
parent 6e2766ec02
commit 90bea68cb5
Signed by: Mark
GPG Key ID: AD62BB059C2AAEE4
1 changed files with 13 additions and 7 deletions
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20
Intermediate/Combinatorics/main.tex
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@ -1,6 +1,8 @@
% use [nosolutions] flag to hide solutions. % use [nosolutions] flag to hide solutions.
% use [solutions] flag to show solutions. % use [solutions] flag to show solutions.
\documentclass[solutions]{../../resources/ormc_handout} \documentclass[
solutions
]{../../resources/ormc_handout}
\newcommand{\nck}[2] { \newcommand{\nck}[2] {
\ensuremath{ \ensuremath{
@ -174,14 +176,18 @@
\problem{}<manyballs> \problem{}<manyballs>
Say we have a bag with the following contents: Say you have a few coins on the table in font of you:
\begin{itemize} \begin{itemize}
\item 8 identical blue balls \item 8 identical 1 kop\footnotemark{} coins
\item 3 identical green balls \item 3 identical 2 kop coins
\item 6 identical red balls \item 6 identical 5 kop coins
\item 4 identical pink balls \item 4 identical 10 kop coins
\end{itemize} \end{itemize}
How many different ways are there to select 5 balls from this bag? How many distinct ways are there to arrange these coins in a row?
\footnotetext{Kopek, Russian currency. Comparable to a penny, since 100 kopeks make a ruble.}
\vfill
\problem{} \problem{}