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

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: If ∠A≡∠C in ABCD, then ABCD is cyclic.

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Q: Let A, B and C be members of C. Compare An (BuC) and (An B)U(AnC)

A: A Venn diagram is a graphical representation of a sample space. The sample space in a Venn diagram…

Q: Given that a =3 and 1 if a is even; a n+1 5а - 1 if a_is odd. Then tern number four, i.e., a а, is

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Q: Using the universal set of 12 attribute pieces given here, which attribute pieces are described in…

A: The statement is "small or yellow" So we can either have small pieces or yellow pieces. Small pieces…

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: 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: abc and bca are the same permutation * T.

A: yes , ABC and BCA are the same permutation.

Q: Prove that if r <s < n, then P(n , s) is divisible by P(n,r).

A: Given: r≤s≤n Therefore, n-r≥n-s So we can write n-r! = n-rn-r-1n-r-2...n-sn-s-1n-s-2...1 n-r! =…

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: 1. Let A, B and C be members of C. Compare An(BuC) and (A

A: Suppose there are two sets A and B then, the union (∪) of these two sets is defined as a set…

Q: Stefan was able to map AABD onto AABC. D A

A: Given, ∆ABD  and ∆ABC     We have to find whether we can map  ∆ABD  onto ∆ABC

Q: Let A, B and C be members of C. Compare An(BUC) and (An B) U (AnC)

A: Introduction: Suppose x belongs to the set A ∩ (B ∪ C).

Q: What is the largest order of an element in the group of permutations of 7 objects? O 1060 O 530 None…

A: Ans- None of these. Since the group of permutations of 7 objects is S7. And it's all possible orders…

Q: Given the following ultimate class frequencies, find the frequencies of positive class. (ABC) =149.…

A: Given: The ultimate class frequencies are as follows:…

Q: 3. (a) Write o as a product of transpositions.Is this permutation even or odd? (b)Write t as a…

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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: Based on the choices below, is the combinations is a subset of the permutations. a. True b. False

A: To check: Whether the statement is true or false. Given: The statement is "the combinations is a…

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

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

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

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Q: Assume that AA and BB are disjoint subsets of UU, and that n(U)=55n(U)=55, n(A)=23n(A)=23, and…

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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: onsider the following figure and proof.

A: Here we have to prove that,  ∆RSM ~∆STN Given :-  RM || SN  , RM ⊥MS , SN ⊥NT To prove :- ∆RSM ~∆STN

Q: Draw appropriate Venn diagram for the following: (A°NB°)

A: The complement of the set A is the set of all the element of except the element in the set A  It is…

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: Ем, As a preliminary helper result, show by induction that for events E1, E2,..., EM, M P(E, or E2…

A: For M=1 the result is true as P(E1)=P(E1) For M=2 we have P(E1 or  E2)=P(E1)+P(E2)-P(E1 and E2)…

Q: If P, stands for "P., then prove that I+1. P, +2. P, +3. P, +...+n. P, = (n+1)!.

A: that is will be...equal the 1 + 1. 1P1 + 2. 2P2 + 3. 3P3 + …. n. nPn = n+1Pn+1. and we know that nPr…

Q: Consider the following permutation in Sg, 12 3 4 5 6 7 8 9 3 7 2 5 49 618 1ttt t tt (a) Write this…

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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: 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: distinct arrangements are possible e

A: We have to find out the total number of arrangements.

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: Question 7 B = {n|n EN and 97 Next Question

A: B=n|n∈ℕ and 97&lt;n≤103.

Q: Given that a, =3 and if a is even; Sa -1 if a is odd. Then tern number four, i.e., a, is

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Q: Given that a, =3 and if a is even; a 5a -1 if a is odd. Then tern number four, i.e., a, is

A: Series

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: Consider the letters in the word COMPUTER. a) In how many ways can these letters be arranged in a…

A: Permutations and combination are 2 methods in mathematics. Combination is used to calculated the…

Q: Is the set of permutations P(X), commutative? Justify your answer

A: .

Q: Which of the following is the given permutation expressed as a product of transpositions? * a =…

A: We have find the transposition for each permutation and the multiply all

Q: Given that a, =3 and if a is even; a n+1 5a -1 if a is odd. Then tern number four, i.e., a, is

A:

Q: Consider the pantial order L on the Ael A =h Luffy, Zoro , Sanji, Chopper, Robin, Brook, Nami, Usopp…

A: Total Order Relation:- Let  R be a relation on a set say X then R is Total Order Relation on X if 1.…

Q: Show that for n attributes A1, A2, A3, ..., A, (Aj A2 Az ... A, ) 2( Aj ) + ( A2 ) + ( A3 ) + ... +…

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Q: Find elements o and t in S3 such that lo|=2, IT|=2 and lot|= 3. How many elements in S4 are there…

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Q: Give a know-show table to prove the following result.

A: Let P denote the hypothesis "a and b are integers such that a≡1(mod 4) and b≡3(mod 4)" Let Q denote…

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

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Q: Given the following information, determine the number of elements in each of the four disjoint…

A: Given: n(A)=35, n(B)=85, n(AUB)=90, n(U)=100.

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: the number of permutations of 10 distinct objects taken six at a time is 151? O a. False O b. True

A: we have to identify given statement is true or false.  the number of permutations of 10 distinct…