MediaWiki:Common.js and 组合数学 (Fall 2017)/Problem Set 1: Difference between pages

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imported>Etone
(Created page with "→‎Any JavaScript here will be loaded for all users on every page load.: var customizeToolbar = function () { →‎Your code goes here: $( '#wpTextbox1' ).wikiEditor( 'add...")
 
imported>Etone
(Created page with "== Problem 1 == Find the number of ways to select <math>2n</math> balls from <math>n</math> identical blue balls, <math>n</math> identical red balls and <math>n</math> identic...")
 
Line 1: Line 1:
/* Any JavaScript here will be loaded for all users on every page load. */
== Problem 1 ==
 
Find the number of ways to select <math>2n</math> balls from <math>n</math> identical blue balls, <math>n</math> identical red balls and <math>n</math> identical green balls.
var customizeToolbar = function () {
* Give a combinatorial proof for the problem.
/* Your code goes here */
* Give an algebraic proof for the problem.
$( '#wpTextbox1' ).wikiEditor( 'addToToolbar', {
section: 'advanced',
group: 'format',
tools: {
"math": {
label: 'Math',
type: 'button',
icon: '//upload.wikimedia.org/wikipedia/commons/2/2e/Button_math.png',
action: {
type: 'encapsulate',
options: {
pre: "<math>",
post: "</math>"
}
}
}
}
} );
};
 
/* Check if view is in edit mode and that the required modules are available. Then, customize the toolbar … */
if ( $.inArray( mw.config.get( 'wgAction' ), [ 'edit', 'submit' ] ) !== -1 ) {
mw.loader.using( 'user.options' ).then( function () {
// This can be the string "0" if the user disabled the preference ([[phab:T54542#555387]])
if ( mw.user.options.get( 'usebetatoolbar' ) == 1 ) {
$.when(
mw.loader.using( 'ext.wikiEditor.toolbar' ), $.ready
).then( customizeToolbar );
}
} );
}

Revision as of 13:02, 17 September 2017

Problem 1

Find the number of ways to select [math]\displaystyle{ 2n }[/math] balls from [math]\displaystyle{ n }[/math] identical blue balls, [math]\displaystyle{ n }[/math] identical red balls and [math]\displaystyle{ n }[/math] identical green balls.

  • Give a combinatorial proof for the problem.
  • Give an algebraic proof for the problem.
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