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Rule of Sum, Rule of product, Combination, Arrangements, Permutation, Examples, and related Topics.
Rule of Sum, Rule of product, Combination, Arrangements, Permutation, Examples, and other topics.
Probability, Notations, Conditional Probability, Examples, Baye's Theorem, Mutual Information, Example, and other topics.
Inverse of an Element, Group, Abelian Group, Order of a Group, Order of An element, Cyclic Group, Product Group, Properties of a Group, Sub-Group, Cosets, Properties of a Coset, and other topics.
Introduction, n-ary operation, Algeraic System, Binary Operations, Semi-Group, Residue Class Modulo n, Identity, Monoid, and other topics.
Properties of Cosets (contd...), Lagrange's Theorem, Normal Subgroup, Qotient Group, Group Homomorphism, Group Automorphism, Group Isomorphism, and other topics.
Rings, Commutative Ring, Ring with no proper Divisors of 0, Ring with a unity, Unit of a Ring, Integral Domain, Field, Properties of Rings, Example, and other topics.
Ring Homomorphism and Kernel, Coding Theory, Weight of a code, Distance between codewords, Properties of distance function, and other topics.
Generator matrix, Paritycheck matrix, Group Code, Decoding a group code, and other topics.