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authorPaul Duncan <pabs@pablotron.org>2021-03-06 10:13:24 -0500
committerPaul Duncan <pabs@pablotron.org>2021-03-06 10:13:24 -0500
commit81a3b1a1b066f5a1e01754a4d12c2407593cdbc1 (patch)
tree102cd8888fa9660600c2e7eda2171d16826a2d3d
parentbbc7aa8b51e4890f66c8298d6dc7d6368ebade38 (diff)
downloadmathy-81a3b1a1b066f5a1e01754a4d12c2407593cdbc1.tar.bz2
mathy-81a3b1a1b066f5a1e01754a4d12c2407593cdbc1.zip
add permutations and combinations
-rw-r--r--htdocs/js/data.js35
1 files changed, 34 insertions, 1 deletions
diff --git a/htdocs/js/data.js b/htdocs/js/data.js
index 5a12764..7b66e46 100644
--- a/htdocs/js/data.js
+++ b/htdocs/js/data.js
@@ -241,7 +241,40 @@ var DATA = {
" y &= mx + b",
"\\end{align*}",
],
- }],
+ }, {
+ name: "Permutations and Combinations",
+ text: [
+ "\\text{Permutations and Combinations} \\\\",
+ "",
+ "\\begin{array}{|c|c|c|c|}",
+ "\\hline",
+ " \\text{Name} &",
+ " \\text{Ordering} &",
+ " \\text{Repetition} &",
+ " \\text{Formula} \\\\ ",
+ "\\hline",
+ " \\text{Permutation} &",
+ " \\text{Yes} &",
+ " \\text{Yes} &",
+ " n^k \\\\",
+ "\\hline",
+ " \\text{Permutation} &",
+ " \\text{Yes} &",
+ " \\text{No} &",
+ " \\frac{n!}{(n - k)!} \\\\",
+ "\\hline",
+ " \\text{Combination} &",
+ " \\text{No} &",
+ " \\text{Yes} &",
+ " \\frac{(n + k - 1)!}{k!(n - 1)!} = {n + k - 1 \\choose k} \\\\ ",
+ "\\hline",
+ " \\text{Combination} &",
+ " \\text{No} &",
+ " \\text{No} &",
+ " \\frac{n!}{k!(n - k)!} = {n \\choose k} \\\\ ",
+ "\\hline",
+ "\\end{array}",
+ ]],
themes: [
"ambiance",