f = (7 3)(14 85 37 6) g = (5 8 26143) Write each of the following permutations as a product of disjoint cycles, separated by commas (e.g. (1,2), (3, 4, 5), ... ). Do not include 1-cycles (e.g. (2) ) in your answer. (a) fg = (b) ƒ-1 (c) fgƒ¬l = Assume multiplication of permutations f,g obeys the rule (fg)(x) = f(g(x) so (1, 3)(1, 2) = (1, 2, 3) not (1, 3, 2).

Q: Let U =  {5, 6, 7, 8, 9, 10, 11, 12},   A =  {6, 8, 10},   B =  {5, 6, 9, 12},  and C =  {5, 7,…

A:

Q: if A ={x,{y},1,2,3,{2,3},{3}}      {} a proper subset of A      true or false

A: The problem is concerned with the nature of the empty set. The specific question is whether the…

Q: Let S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} be the universal set,…

A: The set B' is calculated using the formula, B'=S-B .

Q: Let U = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

Q: a. Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and…

A: # we are entitled to solve one question at a time. Please resubmit the other questions of you wish…

Q: Let n, m 2 3. Find the number of 3n-element multi-subsets of the multi-set A = {n.a1, n.ag,..,n.am}…

A: Consider the given information.

Q: 4 5 1 f = 4 2 3 6 7 3 6 2 7 1 (a) Write f as a product of transpositions (not necessarily disjoint),…

A:

Q: Let U={1,2,3,4,5,6} be the universal set and A-{2,4,6}. Then the power set of the complement of U…

A: Given that  U={1,2,3,4,5,6} and A={2,4,6} To find The power set of the complement of U.

Q: Let A (k,s), t.en the power set of A is:

A: Set of all subsets of A is called power set of A.

Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

A: Given  A=1,2,3,4R=1,2,1,3,2,32,4,3,1S=2,1,2,4,3,2,3,3,4,3

Q: Let A = {1, 2, 3, 4, ..., 20}. What is the cardinality of the power set of A, P(A)?   Fill in the…

A: Cardinality of Set --: The Cardinality of a set is the total number of unique elements in the set.…

Q: Suppose your universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and we have the following subsets…

A: Given, U={1,2,3,4,5,6,7,8,9,10}A={1,3,5,7,9}B={2,3,4,5}C={4,5,8,9}To find:(A∪B')∩C

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

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Q: Let A and B be subsets of U. Find all the elements of B if U = {0,1,2,3,4,5,6,7,8,9} A = {2,4,5,6,9}…

A: Given Data: A={2, 4, 5, 6, 9} A∩B={5, 6} AUB={1, 2, 3, 4, 5, 6, 7, 8, 9} U={0. 1, 2, 3, 4, 5, 6, 7,…

Q: Let the Universal set be U = (1, 2, . 20), A= (1,6.11,19) and B = (6, 11, 14, 7) f(A - B) (1) = (A5…

A: Since you have posted multiple questions. I am answering the three parts. Please post the question…

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of thefollowing may be…

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Q: Show that the set W of all whole numbers, W = {0, 1, 2, 3, . . 3, and N = 11, 2, 3, 4, . . 3 are…

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Q: 4. Let A = {a, b, c, d, e, f, g, h, i, j, k}. (a) How many subsets of A contain exactly 8 distinct…

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Q: Let U = {4, 5, 6, 7, 8, 9, 10, 11},  A = {5, 7, 9},  B = {4, 5, 8, 11}, and C = {4, 6, 10}. Find the…

A: We first find C' (complement of C)

Q: Is {1} proper subset of A  A={x,{y},1,2,3,{2,3},{3}}

A: A proper subset of a set A is a subset of A that is not equal to A.Or in other words, if B is a…

Q: Suppose u=(1,2...19,20) and the sets A, B & C are contained in U and are given by A=(2,6,8,9, 10,…

A: Given that  u=(1,2...19,20) and the sets A, B & C are contained in U and are given by…

Q: How many elements are in A ∩ B  U= {1,2,3,4,5,6,7} A={1,2,4,5} B={1,3,5,7

A: Given:

Q: find the subset of (E, B,T,*)

A: