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This is a blog written by Long Le (vietlong.lenguyen@gmail.com).
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Multinomial Theorem
Prerequisite Knowledge of Factorial Where magic happens We start off by asking the question: how many ways are there to arrange ...
Visible lattice point
Introduction Imagine you're a creepy stalker whose curious pastime is to observe your neighbors through your super-telescope. Y...
Abstract Algebra: the basic
Your rich uncle wants you! For motivation, let's consider this practical question. Your uncle owns a necklace shop. He wants to...
Partition, Sieve Method and Stirling Number
Partition: Distinguishability We're interested in the question: how many ways to give out candies to kids? The answers will ...
Generating Function
An irrelevant Biblical reference to illustrate that multiplication is prevalent in Combinatorics Introduction ...
Linear Congruence and Fermat Theorem
Prerequisite This article assumes basic knowledge of congruence (what it means ect...), if you find this assumption outrageo...
Pythagorean Equation
Introduction We're all familiar with the equation $x^2+y^2=z^2 (1)$ describing the relationship between the sides of ...
Top nerdy things you can do with card shuffle: Group Theory
Source: Pinterest Card shuffle and nerdy things You get together with your friends to play Poker. Five minutes into the game and yo...
Factorial !!!!! Problem of choosing chairs
Suppose you have three friends Alice , Bob and Conor , who are wondering in how many different ways they can seat in a row of three c...
Euclidean Algorithm and Wilson Theorem
Goal We seek to prove the famous Wilson Theorem: $(p-1)! \equiv (-1) \pmod{p}$ for odd prime $p$ The easy way to prove...
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