# Algebraic Formulas

## Combinatorics: Permutations. Arrangements. Combinations. Newton's Binomial theorem

### Permutations Recurence formula of permutations: ### Arrangements , or Recurence formula of arrangements: ### Combinations or Recurrence formulas of Combinations: Demonstration: Formula complementary combinations: ### Newton's Binomial Theorem

Formula Newton's binomial theorem is: Termenul general al dezvoltarii binomului lui Newton: We notice that, Finding the highest rank within the development (a + b)n is done by formula Note. For a set with n items the number of subsets with elements equal Cnk.

For a = b = 1, we get .

Note.  The number of subsets of set with n items is 2n.

Keywords: algebra, combinatorics elements, permutations, arrangements, combinations, Newton binomial theorem

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