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

A: Solution :-

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: What is the largest value of r for which N(2.2, r) is a subset of S = ( – 5, 3) U (1.7, 4.6) .

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Q: 8. Let = {(0,²) In = {(0,²) n = 1,2,3,...}. Prove that n = 0.

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Q: Suppose a, n E Z and 0 < a<n. Prove that )-(".")-(C ) n- 1 in = a a а — 1 in two different ways:…

A: We have to prove, na = n-1a+n-1a-1 First let us prove this using formula. Using Formula…

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: 1. Let A CU and B C U. Suppose |A n B| = 8, |A| = 10, |B| = 15 and |U| 20. Determine %3D %3D |P(P(AU…

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Q: 2.4.3. Let p(r1, T2) = 16, T1 = 1, 2, 3, 4, and r2 joint pmf of X1 and X2. Show that X1 and X2 are…

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Q: 6. Let s, be the number of different symmetric trains of length n which are built out of cars which…

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Q: Given that P(A or B) = 4P(A)= and P(A and B) = 5, find P(B). 19 OA. 72 O B. 7 96 OC. 7/12

A: given data P(A or B) = 1/4 P(A) = 1/8 P(A and B) = 1/9 P(B) = ?

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: 10. Find U 4, and N4,, where i is a positive integer if (a) A, = {i,i+1,i + 2,.) (b) A, = {0,i} %3D…

A: (a) Given that,  Ai=i, i+1, i+2,..... Then, A1=1, 2, 3,.....A2=2, 3, 4,.....⋮An=n, n+1, n+2,.....⋮…

Q: 2. -4

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

Q: R.5. Suppose you own x hats and y scarves, and you have more than one of each. a. How many…

A: Let: x = hats y = scarf

Q: 3. Let A = [2₂9] P=[ 2 3] Define B = P-¹AP. Then compute B¹0

A: Let Define . Then to compute .

Q: 43. what is the next sequence S6, M6. T7, WA. T8.? M10 O F6 4. what is the next number in the…

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Q: Now we have the following questions: (a) What is the probability that the child chosen is the…

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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: 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: Prove that if n 2 3, the only element o of S, satisfying oy =ya for all y E S, is the identity…

A: Let n≥3. Let σ∈Sn such that σγ=γσ for all γ∈Sn. Suppose σ≠i, the identity Then there exists…

Q: 1. Three balls are randomly chosen with replacement from an urn containing 5 blue, 4 red, and 2…

A: Given Information: An urn contains 5 blue balls, 4 red balls and 2 yellow balls. Three balls are…

Q: c. Show that ai+1 ao an ai = 0, 1, 9 P (ai - ai-1), for i=1,2,..., N - 1. a₁ = [₁ + ² + ( ² ) ² +…

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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: Suppose A1, A2, ..., 430 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each…

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Q: fóllowing table enumerates the marks obtained by a class of students in Statistics I and II Papers…

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Q: please do question 9 pleaase

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 6. Prove that if gcd(a, b) 1, then gcd(a +b, ab) = 1. %3D %3D

A: Given that gcd(a,b)=1 If possible , let us assume that  gcd(a+b,ab)=d,d≠1 Then the number d must…

Q: 23. Suppose P(A) = .40 and P(B\A) = .3O. What is the ioint probahilitu of A and B? %3D

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Q: What are the elements of (AUB)?

A: SOLUTION-

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

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Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

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Q: 31 Let A =-1 4 and B = 3] 2 [3 -1 . Compute the (3, 1) entry of AB.

A: Given: A=23−1403  and  B=3−13124[AB](3,2)=?[AB](2,3)=?

Q: Give 5 sample problems for Orthogonal Trajectory (Application of Differential Equation). Provide…

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Q: In (R, Tµ), if A = (1,3) n (Q – Z) then A = - %3D O a. [1,3] n (Q- Z) O b. R O c. [1,3] – {2} O d.…

A: Given that, In ℝ,ζυ, if A=1,3∩ℚ-ℤthen calculate the value of A.

Q: Compute oo (1000), o (750), and go(1024).

A: Introduction: Real and Complex α and any integer n ≥ 1,                        σα (n) = ∑d | ndα the…

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.