From fc495b20a95a054d63dfd77249c63d3f149cf809 Mon Sep 17 00:00:00 2001 From: phidias Date: Wed, 11 Feb 2026 17:24:47 +0000 Subject: [PATCH] docs: create education/mathematics/binomial-theorem --- education/mathematics/binomial-theorem.html | 37 +++++++++++++++++++++ 1 file changed, 37 insertions(+) create mode 100644 education/mathematics/binomial-theorem.html diff --git a/education/mathematics/binomial-theorem.html b/education/mathematics/binomial-theorem.html new file mode 100644 index 0000000..51559fd --- /dev/null +++ b/education/mathematics/binomial-theorem.html @@ -0,0 +1,37 @@ + + +

Fundamental Principle

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The product of first n positive integer, can be called as n factorial, and noted as n!

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Note, the special case defined, 

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When we pick r objects from n objects, if the order matters, it is called as permutation, and we notate it as nPr.

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If the order is unimportant, we can use combination, which is nCr.

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The extra r! is the permutation in the specific set drawn out.

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Note,

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There will be n+1 th term.

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The sum of power of x and y will equal to n.

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The r+1 th term can be called as the general term, in the descending power of x.

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The coefficients, r=0, 1 … are called binomial coefficients.