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-rw-r--r--static/files/articles/combinations-and-permutations/definitions.svg1
-rw-r--r--static/files/articles/combinations-and-permutations/definitions.tex18
-rw-r--r--static/files/articles/combinations-and-permutations/formulas.svg1
-rw-r--r--static/files/articles/combinations-and-permutations/formulas.tex18
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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}
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-25 16:19:24 +0000