1) Find the number of permutations of all the letters of the w following conditions

Q: Show that a permutation o E S, commutes with the transposition (a b) if and only we are in one of…

A: Given: f:S5→S5 is an automorphism. σ∈S5 To do: (d) Prove that σ commutes with the transposition ab…

Q: Assume the cards are drawn sequentially and without replacement. (permutations) In how many ways…

A: Given data, given that 5 Spades can be drawn from a standard deck of 52 cards. The cards are drawn…

Q: Find out how many distinguishable permutations are in the following words. Population

A: The given word is "population"

Q: Find the number of distinguishable permutations of: 3 Cs, 6 Is, and 2 Ms

A: We have letter C 3 times, letter L 6 times and letter M 2 times.

Q: The number of permutations of n elements taken rat a time is denoted by nPr and is computed by or…

A: The number of permutations of n elements taken r at a time is given by nPr where nPr is given by,

Q: Find the following combinations and permutations a)  Draw in order six of eight items without…

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Q: Compute each of the following permutations. (a) (1423)(34)(56)(1324); (b) (1254)^2(123)(45); (c)…

A: Since you have asked a question with multiple subparts, we will solve the first three  subpart…

Q: Consider the following permutations in S,: 4 5 6 7 2 3 6 2 4 1 7 5 3/ The order of a is 4 OOO

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Q: 1. State whether each arrangement represents a permutation or a combination.  a. 10 books on a…

A: For identifying the permutation and combination we must understand the definition of both. Please…

Q: 1.) In the questions below suppose that a "word" is any string of seven letters of the alphabet,…

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Q: Determine the number of permutations of the set {1 ,2 ,..., 14} in which exactly 7 integers are in…

A: Solution-:

Q: Which of the illustrates a permutation? A. Selecting a set of JS Prom committee consisting of 8…

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Q: Is a permutation of one element considered to be an even permutation? For example, is (1) an even…

A: To clarify the notion of an even permutation

Q: What is the largest order of an element in the group of permutations of 7 objects? O 1060 O 530 O…

A: Thanks for the question :)And your upvote will be really appreciable ;) Correct option :- None of…

Q: Find the first 3 mon-Zerw terms orf the Mnelaurin. derres

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Q: Use the method of Example 9.5.11 to answer the following questions. (a) How many distinguishable…

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Q: 1. Determine the permutations of the following.

A: here AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  Here use basic of permutation  permutation is…

Q: What is the largest order of an element in the group of permutations of 5 objects? O 5 6 O None of…

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Q: Find the number of distinguishable permutations of: 6 Es, 4 Is, and 5 Ls

A: Number of ways to arrange n elements in n places where a elements are identical, b elements are…

Q: How many permutations of [n] are possible in which no even numbers and no odd numbers are adjacent?

A: Solution :-

Q: b) Use generating functions to determine how many four element subsets of S = {1,2,3, ..,15}…

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Q: Find the number of distinguishable permutations of: 6 Ds, 5 Js, and 2 Os

A: our objective is to find the no. of permutations

Q: Determine whether each of the following permutations of S = {1, 2, 3, 4} is even or odd: (a) 4213…

A: The given set S={1,2,3,4} To find whether the given permutated set values are odd or even Given…

Q: Find the number of distinguishable permutations of the given letters "ABBBCCD".

A: Distinguishable Permutations: It is the total number of ways one can arrange the given objects…

Q: How many permutations of the letters ABCDEFGH contain the string CFA?

A: We need to find the number of permutations of the letters ABCDEFGH that contain the string CFA. We…

Q: Find the number of distinguishable permutations of the letters in each word below. (a) initial (b)…

A: Our aim to find the number of distinguishable permutations of the letters.

Q: 13.How many permutations are there of the digits in the string 12345 that leave 3 fixed but leave no…

A: Solution is given below:

Q: What is the largest order of an element in the group of permutations of 5 objects? 60 O None of them…

A: What is the largest order of an element in the group of permutations of 5 objects?

Q: Suppose there are 30 characters on a line which included A, B and C. If there are 9A, 14B, and 7C.…

A: We have to find no. Of permutations.

Q: Determine whether each of the following permutations of S = {1, 2, 3, 4} is even or odd: (a) 3214…

A: We have to determine if the following permutations are odd or even by seeing in what number of…

Q: (a) How many ways can the letters of the word ANCESTOR be arranged in a row? Since the letters in…

A: The given word is ANCESTOR.

Q: How many permutations of the letters ABCDEFGH contain the strings BA and FGH ?

A: We have to determine the number of permutations of the letters ABCDEFGH which contain the strings BA…

Q: Show that a permutation o E S; commutes with the transposition (a b) if and only we are in one of…

A: Hi! As per norms, we will be answering only question (d). If you need an answer to others then…

Q: 1. Determine the permutations of the following. a. 34883854 b. 122134364 C. SITUATIONS d. FRANCHESCA…

A: A permutation of a set is an arrangement of its members into a sequence or if the set is already…

Q: Let A = {e, f, h}, then write all the permutations of A.

A: According to the given information, it is required to write down all the permutation of the given…

Q: Given a permutation S={4,5,7}, Find: a.) its inverse b.) even and odd permutations

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Q: 1. Find the number of permutations of the elements in the set 1,3,5,7,9,11. 2. How many different…

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Q: Find the number of distinguishable permutations of the given letters "AAABBBCCC".

A: The given letters are "AAABBBCCC".

Q: Given the permutation, [2, 5, 1, 6, 3, 4], and its transpose, [4, 3, 6, 1, 5, 2], find the number of…

A: The given permutation is: 2,5,1,6,3,4 Its transpose is: 4,3,6,1,5,2

Q: 1. Which of the following permutations in S, is odd? (a) 53124 (b) 51423 (c) 51234 (ed) 54231

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Q: Find the number of distinguishable permutations of the given letters "AABCD".

A: Given information- We have given letters “AABCD” We have to find the number of distinguishable…

Q: Find the number of distinguishable permutations of the given letters "AAABBBCCC". Your answer is :

A: There are total 9 numbers.

Q: Find all of the left cosets of the subroup = {1, 13, 13^2 , . . .} in U(30)

A: G=U30=x∈N :1≤x<30 and gcdx,n=1mod30=1,7,11,13,17,19,23,29H=<13>=1,13,132,133...mod30…

Q: (a) How many permutations of (10] are there that EITHER alternate even and odd numbers or have even…

A: Let consider the permutations of 10 as the ordering of  the elements of 10 rather than as an…

Q: How many permutations of the letters ABCDEFGH contain the string CDE?

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Q: What is the largest order of an element in the group of permutations of 4 objects? Select one: O 4…

A: We will use the fact that the order of an element of a permutation group is the length of disjoint…

Q: Determine the number of permutations for each of the following   letters of the word YELLOWSTONE

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Q: Question 11 How many permutations of the letters c, r, y, p, t, o, i, s, m, a, d are there such that…

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Q: Evaluate the following permutations.

A: here use counting principle