From 83ef6a730f319de8c4673d7a9b381f49dcd41694 Mon Sep 17 00:00:00 2001
From: Paul Duncan <pabs@pablotron.org>
Date: Sat, 6 Mar 2021 13:20:52 -0500
Subject: add second view of permutations and combinations and definitions

---
 htdocs/js/data.js | 46 +++++++++++++++++++++++++++++++++++++++++++---
 1 file changed, 43 insertions(+), 3 deletions(-)

(limited to 'htdocs/js')

diff --git a/htdocs/js/data.js b/htdocs/js/data.js
index ab59066..6a6f754 100644
--- a/htdocs/js/data.js
+++ b/htdocs/js/data.js
@@ -253,7 +253,7 @@ var DATA = {
       "  \\text{Repetition} &",
       "  \\text{Formula} \\\\ ",
       "\\hline",
-      "   \\text{Permutation} &",
+      "   \\text{Permutation}&",
       "   \\text{Yes} &",
       "   \\text{Yes} &",
       "   n^k \\\\",
@@ -266,12 +266,52 @@ var DATA = {
       "   \\text{Combination} &",
       "   \\text{No} &",
       "   \\text{Yes} &",
-      "   \\frac{(n + k - 1)!}{k!(n - 1)!} = {n + k - 1 \\choose k} \\\\ ",
+      "   % \\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} \\\\ ",
+      "   % \\frac{n!}{k!(n - k)!} = ",
+      "   {n \\choose k} \\\\ ",
+      "\\hline",
+      "\\end{array} \\\\",
+      "",
+      "\\text{ } \\\\",
+      "\\text{Permutations and Combinations} \\\\",
+      "\\begin{array}{|c|c|c|}",
+      "\\hline",
+      "    \\text{Name} &",
+      "    \\text{With Repetition} &",
+      "    \\text{Without Repetition} \\\\",
+      "\\hline",
+      "    \\text{Permutation} &",
+      "    n^k & ",
+      "    \\frac{n!}{(n - k)!} \\\\",
+      "\\hline",
+      "    \\text{Combination} &",
+      "    {n + k - 1 \\choose k} &",
+      "    {n \\choose k} \\\\",
+      "\\hline",
+      "\\end{array} \\\\",
+      "",
+      "",
+      "\\text{ } \\\\",
+      "\\text{Definitions} \\\\",
+      "\\begin{array}{|c|c|c|l|}",
+      "\\hline",
+      "    \\text{Denoted} &",
+      "    \\text{Read As} &",
+      "    \\text{Formula} \\\\",
+      "\\hline",
+      "    n! &",
+      "    \\text{\"N factorial\"} &",
+      "    n! = \\prod_{i=1}^n{i} \\\\",
+      "    % = 1 \\cdot 2 \\cdot \\ldots \\cdot (n - 1) \\cdot n \\\\",
+      "\\hline",
+      "    {n \\choose k} &",
+      "    \\text{\"N choose K\"} &",
+      "    {n \\choose k} = \\frac{n!}{k!(n - k)!} \\\\",
       "\\hline",
       "\\end{array}",
     ],
-- 
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