Write the permutation corresponding to R90 in the left regular representationof D4 in cycle form.

Q: Find closed form solutions for the following sequence of integers:

A: Given sequence 3,6,14,27,45,68,96

Q: List all the elements of S4, written in cyclic notation.

A: To list out all the elements of S4.

Q: Consider the expansion of x² 10 3

A: Suppose we have binomial expression . Then its expression is as ;                       The general…

Q: Find the value of the permutation. 9P1

A:

Q: Label eachof the following statement/s as either true or false.   Every permutation can be expressed…

A: Every permutation can be expressed as a product of disjoint cycles.

Q: Which of the followings is/are in the expansion of (a+b)^6?

A:

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: Expand the expression using the Binomial Theorem. (5p + 1)4

A:

Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Write a permutation (1 4 5)(1 5 4 3)(2 1 5) as a product of disjoint cycles.

A: Given that the permutation is

Q: Find the value of the permutation 2Pi

A:

Q: Discrete Math

A: According to the given information, Suppose that:

Q: Show that A5 has 24 elements of order 5, 20 elements of order 3, and15 elements of order 2.

A:

Q: Write the equivalent combinatorial expression for:

A:

Q: Express the permutation (2 4 5)(1 3 5 5)(1 25) as a single cycle or as a product of cycles.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the orders of all the elements of Ag.

A: Since A8 consists of only even permutations and so it has maximum order of any element of A8 can be…

Q: Use the cancellation identity to compute (40 k 5k k 15 k

A:

Q: What is the conjugate of the partition (n – k) + k, where n 2 2 and n = isks \n/2]?

A:

Q: Use the following diagram, with OABCD. (3x+5)° (4х-7)°

A: A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with each pair of…

Q: SHOW THE FULL SOLUTION OF THIS PERMUTATION 3!

A: Given3!

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: Find the order of 2 2; in C

A: Order is 8

Q: The product of 16 and 7.5 belongs to what group in the Real Number System?

A: Assuming the product means multiplication. (R\{0},*) forms group under multiplication. Also,…

Q: 3\ If Find trace (A). 3. -2

A: Given matrix is 1233251-21 To find traceA. Solution: Let A=1233251-21 Trace of a square matrix is…

Q: () Write the equivalent combinatorial expression for:

A: We have to find equivalent formula.

Q: Compute the coefficent of x8    in the expansion of (3x -2)13

A: The given expression is,

Q: Find the integer (a+b) with respect to the module 2,3,5 if a=11 and b=13

A:

Q: find all of the grou ps involued in the lower rightofthe Hafl,170fthe group ucs0)

A: Given                 H={1,11}

Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: Find the decomposition of the representation Sym³V

A: The objective is to find the decomposition of the representation of Sym3V

Q: Find the term containing A6 in the expansion of (A +3B)^10.

A: To find the term containing A6 in the expansion of A+3B10.

Q: Suppose that |a| = 24. What is the generator of (a²l)n (a!o)? a20 a a14

A: Suppose that |a| = 24. We have to find the generator of <a21>∩<a10> .

Q: Find all sollutions in integers of 34x+8y=6

A:

Q: Give a recursive definition for the following. (c) and (d)

A: In this question, concept of recursive function is applied. Recursive Function A recursive function…

Q: Draw and label the final image of AABC after the given sequence of transformations. (*)-(-)-(→)…

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Q: List all generators of (Z10, +10)

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Q: Determine the coefficient of a10 in (1 – 3a5) by completing the following given steps.

A: Since, you have post the multiple question. I am  answering first one. Please post again for the…

Q: : The Wronskian of e" , e2¤ Add a caption... > Status (Custom)

A:

Q: Show the following using factorials: k k- 1

A:

Q: (c) Show that for 2" > 4n for n ≥ 5.

A:

Q: even and n > 4, show that rk is an element of order 2 which commutes with all elements of D2n

A: Given, n = 2k is even and n ≥ 4, We have to show that rk is an element of order 2 which commutes…

Q: The number of generators of Z15 is 7 9.

A: ℤ15 is a finite group.we have to find the total number of generators in ℤ15

Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an +1 =…

A:

Q: Find the order of the element 5(9)in the factor group U(16)/(9).

A:

Q: There are 8 seats in the first row of a theater, 12 seats in the second row, and 16 seats in the…

A: Given ,  There are 8 seats in the first row of a theater , 12 seats in the second row , and 16 seats…