Consider the following permutations in S9 1 2 3 O = 4 5 6 7 1 2 3 4 5 6 7 8 9 89 and t = 3 5 1 4 69 7 8 5 2 6 7 1 3 8 9 4 Find a by solving oa = t. Write your answer in cycle notation.

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: Find the number of inversions in each of the following permutations of S = {1, 2, 3, 4, 5}: (a)…

A: (a) The objective is to find the inversions in the permutation 13542 of S=[1,2,3,4,5] Since, it is…

Q: Let (a b) e S, be a transposition, with 1 < a,b< 5 distinct. We recall that, for a permutation o e…

A: Consider the group S5. Let 1≤a,b,c,d,e≤5 are distinct. Let σ∈S5 commutes with a,b. Therefore:…

Q: Question 11 Which one of the following can be used to find text message in RSA decryption m =c (mod…

A: In RSA decryption the congruent relation is used.

Q: Question # 03(c) Prove that neither 2 nor 17 ase Prime elements in Zli].

A:

Q: (D) Let s be an integer such that 1 ss < 104651 and 24578° mod 104651 = 3190 Find s and explain how…

A: Let s be the integer such that and Purpose: To find the value of s

Q: The mass of a radioactive raditim sample remaining after a given númber of years is shown in the…

A: Answer

Q: Determine the coefficient of at in (1 – 4a²)ó by completing the following given steps.

A: Concept:

Q: Consider the following permutations in S7: 1 2 3 4 5 6 7 1 2 3 4 5 6 7 3 5 7 1 = and t = 2 4 6 2 3 5…

A:

Q: Exercise 4. Consider the following permutations in S9 (1 2 3 4 5 6 7 8 9 (1 2 3 4 5 6 7 8 9 and 7 =…

A: Given σ=123456789352146978 and τ=123456789526713894 (1) We have to write στσ−1 and τ2…

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. Write the following permutations in cycle notation. (1bd from 5.4) (1 2 3 4 5 (1 2 3 4 5 4 3 2 5/…

A: To find- Write the following permutations in cycle notation. 1234542513 1234514325

Q: Let a= (123)(145) in S6. Write a in disjoint cycle form. (32541) None of these O (16)(24) O (14523)…

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Q: . Prove the following: If gcd(a, b) = 1 and ca then gcd(b, c) = 1

A: We will prove the given statement.

Q: Suppose ALIN = AABC. Answer each of the following. L

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Write each of the following permutations in two-line notation. 1. (1 2 3)(4 3 2)(1 2 5) E S5 4 5 5 2…

A:

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 965…

A: Given, there are 10 people and 5 are selected.but a particular person is not included.

Q: Compute each of the following. (2bdm from 5.4) a) (12) (1253) b) (1423) (34) (56)(1324) c) (12)-¹

A:

Q: Given year n, the firs formula: mod 7 100 400 where: Sunday 0, Monday 1, ., Saturday = 6 f...…

A:

Q: 1. 5P5

A: Since you have posted soo many questions here, I can answer only 1. Please repost the question and…

Q: Show that the permutations (12) and (12345) generate S5.

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Q: Map the following SOP expression on a Karnaugh map: BC+ AB + ABC+ ABCD + ABCD + ABCD CD 00 АВ 01 11…

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Q: Find the mod value in classified data set (k=5) 17 20 23 26 28 31 37 40 40 40 40 40 44 49 50 55 60…

A: Mode: The mode is the value which is repeated maximum times. we can denote it by Mo. The formula for…

Q: The recurrence relation of the DE y" – 4xy + 12y = 0

A:

Q: Consider the following permutations in S-: 2 3 4 2 3 4 5 6 BG 3 2 7 15 6 = (! a = 1 4 3. 4 their…

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Q: Let 88c² 8123 + 816c4 S = 1 +8¹c+ 2! 3! 4! If In S 131072, then find c. Türkçe: Eğer 88c² 8123 816c4…

A:

Q: Consider the following permutations in S7: (1 2 3 4 5 6 7 1 4 5 3 2 3 4 5 6 7 (1 B = \4 3 2 7 a = 6…

A:

Q: Consider the following permutations in S9 1 2 3 4 5 6 7 8 9 (1 2 3 4 56 7 8 and r= 3. 5214 6. 9 78 5…

A:

Q: Show that U(14) = &lt;3&gt; = &lt;5&gt;. [Hence, U(14) is cyclic.] Is U(14) = &lt;11&gt;?

A: To show that the group U(14) is generated by 3 as well as by 5. Is 11 a generator of U(14)?

Q: Consider the following permutations in S,: (1 2 3 4 5 6 7 4 5 6 7 7 1 5 6) 1 3 a = 6 2 7 their…

A: To find the product of given permutations

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

A: We have to solve through permutations group

Q: Consider the following permutations in S,: 2 3 4 5 6 7 a 3D= 6 1 their product aß is (1 2 3 4 56 7 4…

A:

Q: Compute the following. 6! %3D O!

A: Compute 6!0!=?

Q: Let 1 2 3 4 5 6 7 8 2 35 6 7 1 8 4 :) 1 2 3 4 5 6 7 8 4 8 3 612 5 7 and be permutations on the set…

A:

Q: Let a = (1 7 3)(5 94 2) and B= (2 3)(7 4)(5 1 8) be elements of S10. Then, a B is O (1 4)(2758 9 3)…

A:

Q: Let (a b) e S, be a transposition, with 1 < a,b < 5 distinct. We recall that, for a permutation o e…

A: Consider the group S5. Suppose 1≤a,b≤5 be distinct. Let σ∈S5 be such that σ commutes with a,b.…

Q: Which of the following is cyclic? * O U30 O U50 O U20 O U40

A: B is the option:-U(50) As per the guidelines we can only solve one question at a time. Thank you.

Q: - Let 1 2 3 4 5 6 7 8 2 3 5 6 7 1 8 4 1 2 3 4 5 6 7 8 4 8 3 6 1 2 5 7 and be permutations on the set…

A:

Q: 4. Write the permutation (6 5 7 9 2 1 4 8 (1 2 3 4 5 6 7 8 9. 10 as a product of disjoint cycles 10…

A: A permutation is a kind of arrangement of set of objects in order. To obtain the disjoint cycles,…

Q: consider the following table Classes |Frequency 25-29 30-34 15-19 1 20-24 35-39 12 10 10 Find the…

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Q: [1 2 3 4 5 5 2 3 4 1 [1 2 3 4 5] 1 5 4 3 2 1. Let o = and T = be permutations in S6. (a) (2 points)…

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Q: Give a direct proof of the claim: Vn E N, if the last two digits of n are divisible by 4 then n is…

A:

Q: Consider the following permutations in S,: 3 4 5 6 7 2 3 4 5 B- 3 2 75 1 6 !! 7 5 4 1 3 their…

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Q: Which of the following is not cyclic? * O U50 O U9 U10 U30 O O O

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Q: Write the resulting permutation after performing each of the following reversals. a) T = 213 4 5 6 *…

A: Required: To perform reversals for the following permutations.

Q: 5. Compute each of the following without a calculator: a. 437 (mod 3)% D b. 7157 (mod 4) = c. 5 (mod…

A: See full solution below. Basic formula of congruence is used in this solution

Q: Which of the following are valid witnesses to show that 10n-1 is (n)? O C=1, k=100 O C=10, k=10 O…

A:

Q: Use the data provided to find values of a and b satisfying a² = 6² (mod N). Then factorize N via…

A: We have to find the value of a and b which satisfies a2≡b2mod N. Also we have to find gcdN, a-b.

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.