From a547b7169b6db11d13a9b737c30fe1def55f994e Mon Sep 17 00:00:00 2001 From: Paul Duncan 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') 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 @@ + \ No newline at end of file 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 @@ + \ No newline at end of file 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} -- cgit v1.2.3