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A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
Let A = {1, 2, 4, 5, 6, 10} and R be a relation on A such that for all x and y in A, x R
y if and only if x|y. Draw a directed graph for R, then express R as a set of ordered
pairs.
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- Let R be the relation on a set A = {a, b, c, d} defined by R = {(a, a), (a, b), (b, b), (b, c), (c, b), (d, c)}. Find R² and R³.arrow_forwardConsider the relation R = {(1,3), (1,4), (2,1), (2,2), (3,2), (3,4), (4,1)} on the set {1,2,3,4}. Find the reflexive closure of R. b. Find the symmetric closure of R. C. Find the transitive closure of R.arrow_forwardLet X=\{a,b,c,d,e,f\}X={a,b,c,d,e,f} and SS be the relation on XX defined by S = \{ (a,a), (a,b), (a,c),S={(a,a),(a,b),(a,c), (a,d), (a,e), (a,f),(a,d),(a,e),(a,f), (b,b), (b,d), (b,e),(b,b),(b,d),(b,e), (b,f), (c,c), (c,d),(b,f),(c,c),(c,d), (c,e), (c,f), (d,d),(c,e),(c,f),(d,d), (d,e), (d,f), (e,e), (f,f) \}(d,e),(d,f),(e,e),(f,f)}. Is SS a partial order? If so, draw its Hasse diagram. If not, give an example showing why.arrow_forward
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