From 83ef6a730f319de8c4673d7a9b381f49dcd41694 Mon Sep 17 00:00:00 2001 From: Paul Duncan 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(-) 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}", ], -- cgit v1.2.3