30. (i) Verify that Hall's marriage condition is satisfied for the family {A₁, A₂, A3, A4, A5, A6} where A₁ = {a, c}, A₂ = {b, c), A, = {a, c, d, e}, A4 = {b, d, e, f}, As = {a, e} and A6 = {a, b}. (ii) Verify that Hall's marriage condition is not satisfied for the family {4₁, A2, A3, A4, A5, A6) where A₁ = {a, b, c), A₂ = {b, c), A3 = {c, e, f}, (a b)
30. (i) Verify that Hall's marriage condition is satisfied for the family {A₁, A₂, A3, A4, A5, A6} where A₁ = {a, c}, A₂ = {b, c), A, = {a, c, d, e}, A4 = {b, d, e, f}, As = {a, e} and A6 = {a, b}. (ii) Verify that Hall's marriage condition is not satisfied for the family {4₁, A2, A3, A4, A5, A6) where A₁ = {a, b, c), A₂ = {b, c), A3 = {c, e, f}, (a b)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 16E
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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.
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