(1) Consider the sets S= {1,2,3,4,5,6,7,8} with the subsets A= {3,4,7}, B= {1,7,8},C= {1,4,7} find AnBnC and(A UB)nC.

Q: Give example of clsad subset of IR cwhise two an dimeasiunal Lebesque outer masuie ís o

A: Consider the unit square L=0,1×0,1. Clearly L is a closed set with boundaries l1, l2, l3 and l4.…

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Q: Consider the following sets U= {1,2,3.4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is A-B' ? * O…

A: Given:- Consider the following sets  U= {1,2,3,4,5,6,7,8} A = {2,4,6} B= {1,2,4,6} To find:- A-B'

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Q: Consider all subsets of size four of the set (1,2,3...20) how many of these have a nonempty…

A: Solution :-

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Q: Assume that AA, BB, and CC are subsets of a sample space SS with Pr(A)=0.65Pr(A)=0.65,…

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Q: Given that U = {1,2, 3, ..., 18, 19, 20} А 3 {2, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18} В 3 {1, 2,…

A: Given:…

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: QUESTION 5 Let A, B and C be the subsets of U. Then prove that (A UB) – C = (A – C)U(B – C) by using…

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Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S ={x |x2 > 4}, T = {x |x2 < 9}

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Q: Given that U={1,2,3,...,11,12,13}U={1,2,3,...,11,12,13} W={4,5,8,10,11,13}A={4,5,8,10,11,13}…

A: We have to find the set of element in that region

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

Q: Compute the Banzhaf power indices of A, B, C, and D in the systems [5 : 4, 2, 2, 1] , [10 : 7, 5, 4,…

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Q: 1. Construct the intersection for the collection of sets: A₁ = (0,2,4,6,8) A₂ = [0, 1, 2, 3, 4) A3 =…

A: I do both 1 and 2 questions. In second question if matrix is symmetrical than we will find…

Q: Let A = {1, 2, 3, 4, 5}. How many subsets of A have no more than 3 elements?

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Q: If S is a subset of T , then u* (T) sµ* (S). ylgn O İhi O

A: False

Q: Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where…

A: We will find the all values as shown below by using given information

Q: 4 10 11 •12

A: To find the elements of the sets x,y and z from the given venn daigram.

Q: (1 2 3 4 5 6 2 3 1 5 6 4 (1 2 3 4 5 6 7 3 4 5 1 2 7 6 b. P1 = 2) and p2 = ) are the permutations on…

A: Given,  p1= 1 2 3 4 5 6 72 3 1 5 6 4 7 and  p2= 1 2 3 4 5 6 73 4 51 2 7 6 are two permutations on…

Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1, 9, e, а, с, 0}, and C 3D {2, с, 10, 9, 8, —4,…

A: solution of the given problem is below...

Q: 1. A = set containing elements of 2 where the 2nd and 3rd balls selected are blue

A: Please see the attachment

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Q: 11. consider the following sets: U = {-5,-4, -3, -2,-1,0,1,2,3,4,5}, A = {x: x²= 25}, B =…

A: Introduction: If the components of a set can be arranged in perfect agreement with the set of…

Q: 7. Let U = {2, 3, 4, 5, 7, 9}, X = {2, 3, 4, 5}, Y = {3, 5, 7, 9}, Z= {2,4, 7, 9}. a) Draw a Venn…

A: We have given  U = {2, 3, 4, 5, 7, 9}  X = {2, 3, 4, 5}  Y = {3, 5, 7, 9} Z = {2, 4, 7, 9}  Here, U…

Q: Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where…

A: Total number of elements in universal set, n(U)=100 Total number of elements in subset A, n(A)=30…

Q: For the sets​ U, A, and​ B, construct a Venn diagram and place the elements in the proper regions.…

A: Note: Hi there! Thank you for posting the question. As the options are not clearly mentioned, we…

Q: QUESTION 18 Let U = {q, r, s, t, u, v, w. x, y, z} A = {q, s, u, w, y} B = (q, s, y, z} C = {v, w,…

A: A∩B∩C={q,s,u,w,y}∩{q,s,y,z}∩{v,w,x,y,z}={y}

Q: A question and two statemen's labelled (I) and (II) containing some data are giver as follows: How…

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Q: Let S := {l, a, t, e, r, a, l}. How many subsets does S have?

A: Given: S = {l, a, t, e, r, a, l} Here, number of elements is n = 7.

Q: If S is a subset of T , then u* (T) sµ* (S) ylgn C ihi O

A: I will use the definition of measure to answer the question.

Q: find the complement of set B, given that U= {x ∈ z/ - 7 < x < 7}     A= {x ∈ z+ /2 < x < 6}     B=…

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Q: find the subset of (E, B,T,*)

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Q: Given a universe U={ 1, 3, 7, 9) justify whether {{1,3,7}, [7, 9}} is or not a correct set partition…

A: Let S=a1 , a2 , a3 ,…, an , where, an is a set. The set partitioning of S is a collection of k…

Q: Consider the partition P of [0, 1] be given by P = {0, 1/8, 1/4, 1/3, 2/3, 3/4, 1}. What is the norm…

A: Here given that the partition P of 0, 1 be given by P=0, 18, 14, 13, 23, 34, 1 .We have to find the…

Q: If AB is a subset  of C,  show that P(C)≥P(A)+P(B)-1. Please show me all of your work.

A: Given that; A∩B⊂C⇒C⊃A∩B⇒P(C)≥P(A∩B)

Q: Find the norm of the partitionP={1,1.1,1.7,2.4,2.9,3.1,3.8,4}

A: Given Partition, To find the Norm of Partition.

Q: Which of the following is NOT a subset of 2{a,b} × {a,b} C (b). Ø) C (a,b), (a,b) ) C (a,b}, a) C…

A: Given set

Q: Suppose that X is a subset of Y, such that P(Y)>0. Is true or false that P(X|Y) is equal to…

A: It is given that X is a subset of Y This means that PX∩Y=PX...(i) The formula for PX|Y is given by:…

Q: 6. Draw a Venn diagram illustrating the relationships between these sets. 1. Be U's 1, 2, 3, 4, 5,…

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

Q: 8) Consider the data (1,1), (3,9), (4,16), If f[1,3] = 4, f[3,4] = z, f[1,3,4] = 1. find z %3D

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Q: A group of fifteen tourists is stranded in a city with four hotels of the same class. Each of the…

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Q: 2. Let S be the set [9]: (1.2.9). (c) List 5 derangements of S having 2 in the 3rd position and 5 in…

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Q: Given a universe U={ 1, 3, 7, 9 } justify whether {{1,3,7}, {7, 9}} is or not a correct set…

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Q: Human blood is classified by blood type, which indicates the presence or absence of the antigens A,…

A: A present  Type A  B present  Type B Both A and B present  Type AB Neither A and B present…

Q: Let U- lo, 1,2, 3,4,5,6,7,8,a}.let two fuzzy subsets A and B •f 0 be given by 2 3 4 6 7 8 9 0:2 0:3…

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Q: Choose any that is a subset of the set S=(10, Ø,{Ø}}} O(Ø) a {(Ø), 10)

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Q: Find the set A UØ. U= {1, 2, 3, 4, 5, 6} A=(3, 4, 5, 6}

A: Given, U=1, 2, 3, 4, 5, 6, A=3, 4, 5, 6

Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В 3D {3, 1, 9, e, а, с, 0}, and С %3D {2, с, 10, 9, 8, —4,…

A: Using the definition of intersection, union and difference between two set