From a547b7169b6db11d13a9b737c30fe1def55f994e Mon Sep 17 00:00:00 2001
From: Paul Duncan <pabs@pablotron.org>
Date: Sat, 19 Nov 2022 17:06:00 -0500
Subject: add articles/combinations-and-permutations.md

---
 .../combinations-and-permutations/definitions.svg      |  1 +
 .../combinations-and-permutations/definitions.tex      | 18 ++++++++++++++++++
 .../combinations-and-permutations/formulas.svg         |  1 +
 .../combinations-and-permutations/formulas.tex         | 18 ++++++++++++++++++
 4 files changed, 38 insertions(+)
 create mode 100644 static/files/articles/combinations-and-permutations/definitions.svg
 create mode 100644 static/files/articles/combinations-and-permutations/definitions.tex
 create mode 100644 static/files/articles/combinations-and-permutations/formulas.svg
 create mode 100644 static/files/articles/combinations-and-permutations/formulas.tex

(limited to 'static/files/articles/combinations-and-permutations')

diff --git a/static/files/articles/combinations-and-permutations/definitions.svg b/static/files/articles/combinations-and-permutations/definitions.svg
new file mode 100644
index 0000000..279768f
--- /dev/null
+++ b/static/files/articles/combinations-and-permutations/definitions.svg
@@ -0,0 +1 @@
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diff --git a/static/files/articles/combinations-and-permutations/definitions.tex b/static/files/articles/combinations-and-permutations/definitions.tex
new file mode 100644
index 0000000..6e81668
--- /dev/null
+++ b/static/files/articles/combinations-and-permutations/definitions.tex
@@ -0,0 +1,18 @@
+\begin{array}{|c|c|c|c|}
+\hline
+    \text{Denoted} &
+    \text{Read As} &
+    \text{Formula} & 
+    \text{Example} \\
+\hline
+    n! &
+    \text{"N factorial"} &
+    n! = \prod_{i=1}^n{i} &
+    5! = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 = 120 \\
+\hline
+    {n \choose k} &
+    \text{"N choose K"} &
+    {n \choose k} = \frac{n!}{k!(n - k)!} &
+    {5 \choose 3} = \frac{5!}{3!(5 - 3)!} = 10\\
+\hline
+\end{array}
diff --git a/static/files/articles/combinations-and-permutations/formulas.svg b/static/files/articles/combinations-and-permutations/formulas.svg
new file mode 100644
index 0000000..06cb1b1
--- /dev/null
+++ b/static/files/articles/combinations-and-permutations/formulas.svg
@@ -0,0 +1 @@
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diff --git a/static/files/articles/combinations-and-permutations/formulas.tex b/static/files/articles/combinations-and-permutations/formulas.tex
new file mode 100644
index 0000000..b7a67ec
--- /dev/null
+++ b/static/files/articles/combinations-and-permutations/formulas.tex
@@ -0,0 +1,18 @@
+\begin{array}{|l|c|c|c|}
+\hline
+    \text{Name} &
+    \text{Ordered} &
+    \text{With Repetition} &
+    \text{Without Repetition} \\
+\hline
+    \text{Permutation} &
+    \text{Yes} &
+    n^k & 
+    \frac{n!}{(n - k)!} \\
+\hline
+    \text{Combination} &
+    \text{No} &
+    {n + k - 1 \choose k} &
+    {n \choose k} \\
+\hline
+\end{array}
-- 
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