Question: 1. (15p) Let A be a set and let Rand Sbe symmetric relations defined on A. Determine whether R S (the composition of Rand S)

1. (15p) Let A be a set and let Rand Sbe symmetric relations defined on A. Determine whether R S (the composition of Rand S) is symmetric or not. 2. (15p) Determine whether the graphs G and I given with the following adjacency lists are isomoprhic or not. graph G graph 1 : 4,5,6 2:4,5,6 3 : 4,5,6 4 : 1,2,3 5:1, 2, 3 6:1,2,3 A : B,D,F BA, CF C:B,D,E DA,C,E E CDF F: A, B, E 3.(15p) Consider an ordinary deck of 52 playing cards such that there are 4 suits: diamond, heart, spade, and club, and there are 13 kinds for each suit: A,2,3,4,5,6,7, 8, 9, 10,J,Q,K. The cards are to be drawn successively at random and without replacement. What is the probability that the second diamond (not second of diamonds) appears on the sixth draw? 4.(15p) The final exam of Algorithm course consist of 50 true/false questions, each worth one point, and 25 multiple choice questions, each worth two points. In how many ways can a student get a grade of 96 on the test

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1. (15p) Let A be a set and let R and S be symmetric relations defined on A. Determine whether RoS (the composition of R and S) is symmetric or not

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