10.25 Find the conjugacy classes in Q₁, and write down the class equation for Q.

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Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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Q: . How many Boolean functions are there of degree 7? Explain.

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Q: 10 Let a₁ = , a₂ = a35 , and b = Determine whether b can be written as a linear combination of a₁,…

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Q: Rrove the other distributive oddi tion Geed t property of (+d) A= cA+ d A

A: Distributive property of addition is given by . It is used in case where terms inside the…

Q: Claim: A minority of adults would erase all of their personal information online if they could. A…

A: sample size(n)=556 sample proportion(p^)=0.42

Q: In 4-7, find the value of x: 5. 4. 7. 6. 4x 21 4 6, 00

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Q: (d) List all outcomes in the event D that exactly two vehicles go in the same direction. D = (e)…

A: See the handwritten solution

Q: also compute η2 for a. and r2 for b.

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Q: 11. If |A| = 3, how many relations are there on A?

A: Given A=3

Q: Illustrate the key ideas in the proof of Hall's Matching Theorem.

A: A bipartite graph is a graph G = (V, E) whose vertex set V may be partitioned into two disjoint set…

Q: -275 2. Let A 013 -135 Find the adjoint of A.

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Q: Show that a,b,c are in A.P. If x is the G M be tween a and b and y is the G M between b and c,  then…

A: We have to show if  a, b, c are in A.P.,  x is the G M be tween a and b and y is the G M between b…

Q: Do not use a calculator in this question. 3 V3 6+2v3 5- V3 p+qV3 6. find the CS CamScanner value of…

A: This question is based on similar parallelogram properties and rationalisation.

Q: ューう -10 ーーーン - -2- つ ()ト 10 15 (-3-7)

A: We will find the slope of the given two lines by the given formula. And then compare the slopes to…

Q: (1.2.7)List all elements in the following sets. (a) T = {m € Z | m = 1 + (−1)¹ for some integer i}…

A: The sets are: (a) T=m∈Z | m=1+-1i for some integer i (b) U=r∈Z | 2≤r≤-2 (c) U=r∈Z | -2≤r≤2 To Do:…

Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

A: Here f and g are tow permutations  and we are given that h=fgf-1. We have to show that both f and g…

Q: 6.3.6 For each real number x, let Ay = {3, –2} U {y E R : y > x}. Find U Ax and N Ax. xER xER

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Q: 4. a. Define the following Terms giving one example each: i. Partial Ordering Relations ii.…

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Q: 2. Let A = {r | r is older than 25}, B = {y |y _is older than 50}, C = {z | z is between 20 and 30}.…

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Q: Consider the monthly salary of all 5 employees of a company: Salary={20,30,22,20,16} Choose any…

A: Given that The monthly salary of all 5 employees of a company. Salary={20,30,22,20,16}

Q: Find the closed form of the relations: Note the index! an = do = = 13 an = 5an-1 +8

A: Detailed explanation:Given:             a0​​=13            an​​=5an−1​​+8 Step 1: Solve the…

Q: Q3. Given the Venn Diagram and its Carroll Diagram: wwm w Prob. Venn Diagram Incomplete Carroll…

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Q: 2. Let S = {0, 1, 2, 3, 4} and T = {0, 2, 4). (a) How many ordered pairs are in S × T? T × S? (b)…

A: 12. Given that,                    S=0, 1, 2, 3, 4  & T=0, 2, 4.

Q: Discuss the mapping properties of for ny 2 -15 N

A: The mapping properties of z1n has to be discussed. Here the range is n≥2.

Q: 1 1 2 3 4 L.O.20-Determining and evaluating expressions 3.) Evaluate the following expressions using…

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Q: 1- show that [Am, A¹] = 0 for all m and n discuss the physical meanings of this relation. 2-…

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Q: H.w ) find the generated af: ty, 7s7z and Zg

A:

Q: 11. Establish the following relation between Fibonacci and Lucas numbers: L, = un + 2un-1 for all n…

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Q: X 1+x² List the elements of the requested image or preimage. No set notation needed. Let q be the…

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Q: 2.19. Let R and S be relations on set A whose digraphs are given below. Determine R, ROS, RUS and…

A: Step 1: Step 2: Step 3: Step 4:  thanks...

Q: 6. State the congruence relation for AABC and ADEF. A. SSS B. SSA 4. C. 4.5 E С. C. AAA 4.5 D. SAS…

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Q: the mapping notation for this function 2. Given the function F(x) -4 *+2 al Determine the mappina…

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Q: If o is a k-cycle then the order of o is k. On the otherhand, if 7 is a product of disjoint cycles…

A: a) since this is a four cycle , then order is 4  b) order is lcm(3,4) = 12 c) order is lcm(4,2,3)…