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Research Paper (undergraduate) from the year 2018 in the subject Mathematics - Algebra, University of Chittagong, language: English, abstract: So far combinations and permutations are discussed with different theorems in algebra. In this paper I apply assembly analysis to get the theorems easy and memorable. After assembly analysis applied there becomes a lot of new theorems and all the theorems get a new face by summation methods. Formations mean the selections of a random experiment where order is not taken into account and repartitions are allowed. Homogenations mean the selections of a random experiment where order is taken into account and repartitions are allowed.