2.1 Consider the following permutations in Syma 0=(1,8,5,7)(2,4) y3(1,3,2,5,8,4,7,6) a. Compute oy. b. Determine whether oy is odd or even.

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

A: We have to show that the permutation 12 and 12345 generates S5. Suppose H=12,12345. We know that…

Q: %3D The members of the set {rx is an integer number such that r² = 2} are Оа. (2,2) O b. (-V2, v2) О…

A: To findElement of (say)A={x| x is an integer number such that x2=2}

Q: 5. Let u = {1, 2,3, 4, 5, , 15} A = { 1, 2, 3, 4, 5 } B = { 1, 3, 5, 7, , 15 } .. Find (An B' )'

A: Given that,

Q: 2. Let A = 201-18 and /= 2 1 1 2 01 Find A(A+1).

A: A=[2 1      1 2]I=[1 0      0 1]

Q: 6. Complete the indicated product involving the following permutation in S a. βα b. ß² a c. ya² d.…

A: Solution :-

Q: Consider the product of cycles (1 2)(4 7 8)(2 1)(7 2 8 1 5) that are permutations of {1, 2, 3, 4, 5,…

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Q: 2. Compute each of the following. (2bdm from 5.4) (2361)(CD) 10 (VCC1) (93)(VE) (EC) 19

A: Introduction: Multiplication is a mathematical operation that represents the fundamental concept of…

Q: A car traveling along a street needs to pass through 4 intersections with traffic lights. If each…

A: Introduction: It is required to find the probability mass function of pmf of X.

Q: There is a large group of 50 girls. This year 3 of the girls go to study abroad. After the 3 girls…

A: This question is related to permutation and combinations, We will solve it using given information.

Q: Let G be a a gsoup psove that CGIG)-1and (G:le))-IGI-

A:

Q: Compute f2,f3, and f-1 for each of the following permutations.   f= (l,3,7,4)(2,5,9,8,6)

A: f= (l,3,7,4)(2,5,9,8,6)

Q: Suppose that X, Y , and Z. If Pr(X) = 19/40, Pr(Y ) = 11/40, Pr(Z) = 2/5, Pr(X ∩ Y ) = 1/5, Pr(X ∩…

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Q: Find all 6 permutations of (12)(345).

A: Find all permutations with 12 in the first pair of bracket : (12)(345) (12)(354) (12)(435) (12)(453)…

Q: 2. -4

A: Our Aim is to evaluate the integral given below:-∫dyyy8-4 -(i)

Q: | Suppose that a DJ has two (2) turntables and one (1) microphone. If the failure rate of a single…

A: here you have posted many questions as all are different , I have calculated first main question…

Q: When we are considering n objects taken r at a time, with r . 1, why will the number of combinations…

A: "When we are considering n objects taken r at a time, with r . 1, why will the number of…

Q: A. j2n = (-1)" B. jan+1 = j C. j¯" = (-j)" D. jan-1 = –1

A:

Q: Class Frequency :Q3) For the following data 50-54 55-59 60-64 65-69 70-74 75-79 80-84 3 7 10 16 12 9…

A: Given that ; A frequency table is given and by using this table we calculate the mode  The mode…

Q: B. Suppose a die is tossed 3 times. We can represent an outcome of this process by an ordered 3-…

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Q: 8.1 Carry out the indicated multiplications in S6- 4 5 6 6 142 5) ( 4 3 2 1 6) 3 6. a) 3 b) (} 4 3 4…

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Q: 8. 8) Evaluate s k=1

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Q: A. Let U= { 1, 2. 3, 4. S. 6. 7, 8,9, 10, A-{3,5, 8, 113 B= {2,5.6. 7, 8} C = {3,4, G6,7, B,10 ,n} D…

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Q: 1. Find P (AN B).

A: Here use basic probability rule

Q: 4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E…

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Q: Compute the following. 8 (²) 5

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Q: /2.11 The resumés of two male applicants for a college teaching position in chemistry are placed in…

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Q: 10.

A:

Q: 2. List all elements of A = M₂ (Z₂). Give the units in A, as well as the zero divisors in A.

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Q: 1. Find the GLB of the set: {x:|x - 4| < 1}. -1 b. 1 -3 d. 3 e. 0 а. с.

A: We need to solve the given inequality to find GLB

Q: 4. Let A

A: Given,                A=1, 2, a, b, ϕ

Q: 2. Calculate -330. Show all work. (Recall that o-330 = (0-1)330)

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Q: Suppose that P(A;) = 1 for all i = 1, 2, .... Show that P(N A;) = 1.

A:

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.