Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a E A and b E B ?

Q: A set of ordered pairs in which each member of the set of first components corresponds to exactly…

A: A set of ordered pairs in which each member of the set of first components corresponds to exactly…

Q: Which of the following are difference sets?

A: Introduction: A (v, k, λ) difference set is a k-element subset D of V = Z (mod v) in which any…

Q: Construct the intersection graph of the following collection of sets: 4 = {0,+2, 14, 16, ±,..} A, =…

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

A: The question is related to sets. The solution is explained below.

Q: Let d be the highest degree of any vertex in a tree T, and let l be the number of leaves of T. What…

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Q: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

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Q: Let set A be the set of face cards and B be the set of all spades in a regular deck of cards. State…

A: There are 12 face cards in a regular deck of cards and 13 spades in a regular deck of cards. Set A:…

Q: Let the letters G and B denote a girl birth and a boy birth, respectively. For a family of three…

A: Let the letters G and B denote a girl birth and a boy birth, respectively. Given that a family has…

Q: Q1\ Use the Venn diagram to find the requested sets. 1)C N B' 2) A- C 3) AN(B'-C) 20 15 10 5

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Q: S. is Setl

A: A small block slides without friction down an inclined plane starting from rest. Let sn be the…

Q: Define E to be the empty set and further define F = {E}, G = {F}, H = {E, F}, and I = {E, F, G,H}.…

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Q: The set of elements common to both set A and set B is called the______ of sets A and B, and is…

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Q: For each x-y table given, copy the table, find the pattern and fill in the missing entries. Then…

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Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Given that set A has 41 elements and set B has 22 elements, determine each of the following. (a) The…

A: Set A : 41 elements  Set B : 22 elements

Q: Find, if possible, the number of elements in sets A, B, and C using the given information: n (C…

A: Refer to the question. Use the venn diagram method to solve this problem.Now here n(A intersect B)…

Q: The set of elements that are members of set A or set B or of both sets is called the. of sets A and…

A: Note that, a set is a collection of objects. All the object that are clearly determined in a set are…

Q: Find two infinite sets A and B so that A UB, AN B,А — В аnd B — А are all infinite sets. Show the…

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Q: Consider the set C={Ø,{Ø},{Ø,{Ø}}}. How many elements are there in the power set P(C)? *

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Q: Suppose A is a set with n elements and B is a set with m elements. (a) How many ordered pairs (a, b)…

A: By bartelby guidelines I can only answer the first three sub questions.

Q: The closure for set P would be the set |z-(1+i)| = 2 |z(1+i)= 3 |z- (1 + i)| < 1 None of the above…

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Q: Draw figures showing two sets A and B, so that B C A. DO NOT draw the set elements.

A: As we know the meaning of B ⊆ A is that B has few or all elements equal to the set A B ⊆ A subset…

Q: The empty set o is open set

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Q: ( Prove that the set {a E R2: a2 ... Prove that the set {a E R2: a2 not equal to 6} is open.

A: Let the set is A=a1,a2∈ℝ2:a2≠6 The objective is to prove that the set A is open.

Q: List the elements of set D = { x:x є N, x is a multiple of 5} where N= {1, 2, 3, ...}.

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Q: If S and T are two sets such that S has 21 elements, T has 32 elements, and   S ∩ T has 11 elements,…

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Q: ) Suppose X = {1,2, 3} and Y = {5,6). The number of elements of the set P(X × Y) = %3D

A: Number of Elements in Power Set P(A) of set A with n elements is 2n

Q: Find the interior and boundary of the set: [0, 2] n [2, 4]

A: In the given question we have to find the interior and boundary of the set [0,2]∩[2,4]. Interior…

Q: A set of ordered pairs in which each member of the set of first components corresponds to exactly…

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Q: Let A = {a,b,c,d} be the set containing the four elements a, b, c and d. Let S = {X |X is a subset…

A: Sets

Q: 4) Describe the graph of the given set C o{ (x,y): ニ

A: Parametric curves: When we define the coordinates of the point x, y in terms of another variable,…

Q: Let S = {(x, y) E R X R: y - x = integer} List of four members of [-3]

A: GivenS=x,y∈IR×IR: y-x=Integernow-3=x∈IR: -3-x=Integernow, 1∈IR,2∈IR , 3∈IR and 4∈IRso the four…

Q: Q1\ Use the Venn diagram to find the requested sets. 1-4'N B' 2) B-C' 20 3- A - (B'U C) 10 5.

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Q: A combination is a selection of r distinct objects from a. Not above b. n objects O C. r objects d.…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: Draw the Hasse diagram for the relation C on the set P({1,2,3}).

A: According to the given information, it is required to draw the hasse diagram for the given relation.

Q: It is the selection of objects from a set.

A: This is the problem of combinatorial. finite math, counting.

Q: The results of a survey taken by a bank in a​ medium-sized town are shown in the table. The survey…

A: Intersection of column B and row Y is 2.

Q: Given A={x,y},B={1,2,3,} and C={m,n}. How many ordered pairs are there for AXBXC

A: Elements of A×B are the ordered pairs of the form  A×B=x, y | x∈A, y∈B Given : A=x, y, B=1, 2, 3,…

Q: Let A = {1,2,3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Why?

A: Given A=1,2,3,4B=a,b,c,d,e

Q: Let a < b. Find the crossing point n0 at which c1na = c2nb, for any c1, c2.

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Q: the diagram for the intersection of sets A and B.

A: Basic concepts intersection of two sets- Let A and B are any two sets, then the intersection of sets…

Q: Draw the Hasse diagram for R.

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Q: In an analysis of two attributes, if: N=160, (A)= 96 and (B) = 50, %3D find the frequencies of the…

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Q: The set of elements that are members of set A or set B or of both sets is called the_____ of sets A…

A: The set of elements that are members of set A or set B or of both sets is called the_____ of sets A…

Q: Of the first 100 customers of Luigi’s Pizza Place, 80 of them ordered pepperoni on their pizza, 72…

A: Create a Venn diagram with two sets. To do this, first draw two intersecting circles inside a…

Q: For every set A, {Ø} C A.

A: We use the definition of an empty set and subset of a set to answer the given question.

Q: x E Keals

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Q: 3. Find the number of elements of the set P= {n|n E Z, 1<n< 400, 3 Xn and 7 n and 13 n}.

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Q: Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B.…

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