n][n]. For T(o(k)), of T and o. Show Problem 1: Let n E N and Sn be the set of all bijections r: T, o E Sn denote by that T O O the composition, k - a) for T σ & S, also ποσ E S,. b) the binary operation o is associativ, i.e., for a, , TE Sn (4 oT) (o ou) oT σο O c) there is a function / E Sn such that for every T E Sn LO TT TT = l0 T . Find an explicit description of : [n] > [n]. d) For every o E Sn there is a function TE S with where is the bijection in c) e) there is an n E N and o and T with Remark: You just showed that (Sn, o) is a symmetric group is a non-abelian group. The group Sn

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A: Cartesian product of c, d and c, d isc, c, c, d, d, c, d, d Further,           c, d× c, c, c, d, d,…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.