wiki/education/mathematics/binomial-theorem.html

<!--
title: 二項式定理 (Binomial Theorem)
description: 
published: true
date: 2026-02-11T17:24:46.603Z
tags: 
editor: ckeditor
dateCreated: 2026-02-11T17:24:46.603Z
-->

<h2><span style="font-family:Arial, Helvetica, sans-serif;">Fundamental Principle</span></h2>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The product of first n positive integer, can be called as n factorial, and noted as&nbsp;n!</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
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<p><span style="font-family:Arial, Helvetica, sans-serif;">Note, the special case defined,&nbsp;</span></p>
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<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">When we pick r objects from n objects, if the order matters, it is called as permutation, and we notate it as&nbsp;nPr.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">If the order is unimportant, we can use combination, which is&nbsp;nCr.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The extra&nbsp;r! is the permutation in the specific set drawn out.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img 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SrGPgJGgR5GuyEK3AuyUHEHV6KJmFEdAQqboVjZbnxSyhUVK7k9zIzRTVFcjZNWAVViw9kZJ3ISdvNKm0kYYBKzVXtlN4ESnIJhVaVCPTOQIWcf26+0UbeYTFrvvPFygy1r62YtIrJ22nd022JZN+ZpbnsrQmEX4XKmaQIe+DEOTGt9IrK4xUK8PZzAV5ekQhkyJYqreCCbPdEPjhKK9sNLutvN6OEJnvtOG6YwB4xE588mP9efRN6iXMpmKdZPTrlaG86VHMgSa+kmogWclZqZEryYx7RjNpEQYjMxDE3td9qoCCaT0FgkXtN2ZdpaRGTlZoHrfX5S3SsodL1n0DEVqfA4z8wCIyF4wzKZilVFMstozLW9rYgs09Y7/8+7UQwNs7IIc004PdwscL2vmBgFgNFHYPTSxOjqd/0USnnS9d5UrBnl4QYq1s1Rrl0eRQ3kCDEX8bYWp4KTUmPKLDaJNrxtkjSkYWciy0HhUY75fzm8jzgJEz6q07rx56l4eRfJc89xaxGRlbcJ3tNuqGMUcXhtbXWwxnsk2owvd2QJakXVTFOsrL2ILJ4BmLVj1AxFHPcws0AXI734nhSGUVjNwDF2b9y/fsGL9I17zDpUiY1VrJujXPEK8IMmcoGd4m35lbqyj+t/xjGagBniewpS8IU0OXCHaRq9ybEMPl2vmDivWxA0n5p5XYuIOBafBiIFRJpzkxPj5GgxZ+lQMssO3sM8IS0bpZGEBvO50T/+mSZF06iC0Ep4n6ivDbtRLwdhpH/CXHA2OZmAZys9fY51iZFzW9EFfyJdtJlgUQr98YGRnqcrpWlLNfUZBt+G3wibaz/+0ikhoItdU6VUMUKlrgOLUSem4GhAShehbBiiIPoYT0tL7IXWIITFnqHlTY4PY+XwbdetgV1gwrqMW/c0vHxfB5tAcC2+y1ov8MgAatrKztsASNtynH2XZRrw/zimn6KvSFWfIc61oavhrOnQOoworwzEvv57l1Q/YqKA0VHTIKOBdCwinWd/2zGqhnopsdOWsMqfb4RyZQCHMico/x13zJoKJUpI0C1QvoJUO5Vvh3EKr336vDaQtSW8UfwLBEdAabSY42Q5Tuj8FvwG85JDWODRhp4wmbDuGUSZuauntcw8q/MAvHjdmjzsxJlt3OkRpL7GI/wwrfNSeqiHV21nYBIR9/i7WbJZ4M9Nj/VsuzHK1cp91+Jx+lAzDDu/QI5TBAbhqLfH52LDbF57+/aZpcRBYoM/Dqek9rgDhk6tVv/JctyYtcfYPzs5xBg5/Hyl3GIyad2T8PJzDT3MXeyv37JaEQtj133TD433WxYR7PmVHu/jYE27exZu5tZSJjIdbwOMUAtsQvN3sNduQOrWxihXtlUs9dBABtnj+GMwZJSgYOdr2+JENY/j1IJinUQ56Lccwm/xnBqKrntO08lhJAIbgcBGKVdLwTbax0a9kKI87RvzynxKPgBPbOoDQnPAqyBAls0UrB9yLPqtc7vuRcsn55MIrCoCG6dcuYJlyo9dvWl+ZC3le5b2iytNWcxr7Jcci36RvKx70TLK+SQCq4jA/wEZdOoGZ4e+vQAAAABJRU5ErkJggg=="></figure>
<p>&nbsp;</p>
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"></figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Note,</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">There will be n+1 th term.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The sum of power of x and y will equal to n.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The r+1 th term can be called as the general term, in the descending power of x.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The coefficients, r=0, 1 … are called binomial coefficients.</span></p>