1 2 3 4 5 6 7 8 f = 1 2 5 4 3 7 8 6 (a) Write the permutation f4 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. ft = (b) Determine the order of f4.

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: Let U =  {2, 3, 4, 5, 6, 7, 8, 9},   A =  {3, 5, 7},   B =  {2, 3, 6, 9},  and C =  {2, 4, 8}.…

A: Given U = {2, 3, 4, 5, 6, 7, 8, 9},   A = {3, 5, 7}, B = {2, 3, 6, 9}, and C ={2, 4, 8}. Find  (A ∪…

Q: Consider all subsets of size four of the set (1,2,3...20) how many of these have a nonempty…

A: Solution :-

Q: How many subsets does the set L= {6, 7, 8, 9} have? %3D

A: A is called the subset of B if all the elements in A are also present in B. In the given set L there…

Q: Let A = { a, e, i, o, u} and B = { a, b, c, d}. Is A a subset of B ? No.(Why?). Is B a subset of A?…

A:

Q: Let S=(1,2,3,4,5,6,7,8). How many permutations are there if: a. The odd and even numbers trade…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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: 1. Find the zeros, their multiplicity, the graph behavior at the x-intercepts (cross or touch), and…

A: a) b) To Find:i) Zeroes and their multiplicity ii) Graph behavior at x-intercept.iii) Maximum number…

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: 2. Let S be a subset of {1,2,. 99} with exactly 10 elements. Show that S has two disjoint subsets…

A: Given: S=1,2,....99 Number of subsets with 10 elements 210=1024 Maximum sum of 10 elements from…

Q: The following table shows the number of new (single-unit) houses started, in thousands, in the…

A:

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

A:

Q: Consider lists made from L, a, T, e, X, with repetitions allowed. How many 4-lists are there in…

A: Please refer to the image below.

Q: Use the pigeonhole principle to prove that any 6-element subset of {1,2,..., 10} contains a pair of…

A: This question from discrete mathematics and topic is pigenhole principle.

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

A:

Q: onsider the 4-lists taken from {1,2,3}. For example, (1,2,1,3).  How many are there in which each…

A:

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: Consider the following three sets of natural numbers less than or equal to 20: A={4, 5, 8, 11, 12,…

A: Given : A={4, 5, 8, 11, 12, 13, 17, 18, 19, 20}  B={1, 2, 3, 5, 10, 11, 16, 20}  C={1, 3, 4, 7, 8,…

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: