From 90bea68cb5409b649b48ec990ad212a166f91fb0 Mon Sep 17 00:00:00 2001 From: Mark Date: Sun, 9 Jul 2023 21:35:00 -0700 Subject: [PATCH] Cleaned up combinatorics handout --- Intermediate/Combinatorics/main.tex | 20 +++++++++++++------- 1 file changed, 13 insertions(+), 7 deletions(-) diff --git a/Intermediate/Combinatorics/main.tex b/Intermediate/Combinatorics/main.tex index c205967..b413bf2 100755 --- a/Intermediate/Combinatorics/main.tex +++ b/Intermediate/Combinatorics/main.tex @@ -1,6 +1,8 @@ % use [nosolutions] flag to hide solutions. % use [solutions] flag to show solutions. -\documentclass[solutions]{../../resources/ormc_handout} +\documentclass[ + solutions +]{../../resources/ormc_handout} \newcommand{\nck}[2] { \ensuremath{ @@ -174,14 +176,18 @@ \problem{} - Say we have a bag with the following contents: + Say you have a few coins on the table in font of you: \begin{itemize} - \item 8 identical blue balls - \item 3 identical green balls - \item 6 identical red balls - \item 4 identical pink balls + \item 8 identical 1 kop\footnotemark{} coins + \item 3 identical 2 kop coins + \item 6 identical 5 kop coins + \item 4 identical 10 kop coins \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{}