2. Let A = {1, 2, 3, 4, 5, 6} and B= {2, 4, 6, 8}. What is the cardinality of B? A U B, A N B?

Q: How many subsets of the set {1,2,3,4,5,6,7,8} have cardinality 3 or less?

A: Here we need to find how many subsets of the set A={1, 2,3,4,5,6,7,8} have cardinality 3 or less so…

Q: Find the cardinality of the following set. B = {4, 8, 12, 16, 20, 24, 28, 32}

A: Definition: Cardinality of a set: If a set has finite numbers of elements then cardinality of a set…

Q: Consider the set S= {x €N|x is odd and 10<x<30}. Determine the cardinality of the power set of S.

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Q: 21. Suppose U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and T = {1, 3, 5, 7, 9}. %3D…

A: Given universal set is U=0,1,2,3,4,5,6,7,8,9,10 and T=1,3,5,7,9. We have to find T'. Complement of a…

Q: What is the cardinality of each of the following sets? 1.∅ 2.  {1,2,2,1} 3. {1,{1,2}} 4.…

A: Set is a well defined collection of distinct objects. For a finite set, the cardinality of a set is…

Q: Given the following sets: A = {2, 3, 4}, B = [1, 5, 10}, C ={-1, 1, 2), D = {2, 5, 10} What is the…

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Q: If A = (3,5), B= ( 1,2,4,5) and C = (1,2,3) then the cardinality of AXBXC is O 32 O 12 O 36 O 24

A: A×B×C represents the cartesian product of sets A, b and C.   let |  | represent the cardinality of a…

Q: 16. Suppose U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set What is T' ?

A: Given that  U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} T = { 1, 3, 5, 7, 9 } U is the universal set and…

Q: Suppose set A = {green, blue, red, black, orange} and set B = {gray, purple, blue, orange, white}…

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Q: Let A= {1,2,3,4,5,6} and B={2,4,6,8}. what is the cardinality of A ∩ b?

A: Cardinality of a intersection

Q: Consider the sets A = {16}, B = {10 + 6}, C = {10, 6}, D = {25}, and E = {2, 5}. (a) What is the…

A: Given that: Sets A = {16}, B = {10+6}, C={10,6}, D={25}, E={2,5}

Q: Given the following sets: A = {2, 3, 4}, B = [1, 5, 10), C = {-1, 1, 2}, D = (2, 5, 10} What is the…

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Q: 24) 100 people are surveyed, obtaining the following information: -Every respondent who owns a car…

A: Given that the total number of respondents is 100. There are 54 male respondents. The number of male…

Q: and jazz. Finally, 5 students listened to all three musical styles. Construct a Venn diagram and…

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Q: Let A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}. Find the cardinality of the given set. a. n(B) b.…

A: To Determine: Find the cardinality of the given set.

Q: 2. Given the following sets, where U is the universal set, and A, B and C are three sets in the…

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Q: The contiuum hypothesis: there exists cardinal number B such that No<ß<c صواب ihi

A: Ans : False , because

Q: Suppose S and T are infinite sets and o :s-T is afunction that is not onto May we conclude that S…

A: Given statement is false We show that by taking counterexample

Q: Consider the set S= {x €N|x is odd and 10<x<30}. Determine the cardinality of the power set of s.

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Q: Consider the sets A {r|a E Z,-2<r < 2} {2) C = {1,3, 5, 9, 11} D = {-2, –1,0, 1, 2} E = {a, b, c, d,…

A: topic - sets

Q: 8) What is the cardinality of AU B? A) 4 B) 3

A: Given a six-sided die is tossed. A is event of getting a factor of 4 and B is event of getting an…

Q: 7. Consider the sets A = {x |x € Z, -2 <x < 2} B = {a,b, c} C = {1,3, 5, 9, 11} D = {-2, –1,0, 1,2}…

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Q: Use counting to determine the whole number that corresponds to the cardinality of these sets. (a) C…

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Q: The cardinality of x = {n|1<n s 96, n is not divisible by either 2, 4 or 6} is

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Q: One of the following sets has the cardinality No : .a R .b .c {0,1,...,20} .d [0,1]

A: Cardinality of a set is defined by total number of elements in the set.

Q: We are given the universal set S = {Aveley, Blackpool, Silsden, Skelmersdale United, Everton,…

A: Given universal set is  S = {Aveley, Blackpool, Silsden, Skelmersdale United, Everton, Platinum…

Q: Prove that [0,1] has the same cardinal number as [0,2] U[7,9].

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Q: how that if |A| = |B| and |B| = |C| then |A| = |C|. The sets A, B, and C may be infinite, so ou must…

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Q: Show that the following pair of sets have the same cardinality. A = (5, 9] and B = (1, 2) ∪[4, 7]

A: Two sets A and B have the same cardinality provided there is a bijection from A to B.

Q: find the cardinalty of the following set {3.6.9.12.......414{

A:

Q: 6. Show that A = {-11,-10,–9,...,9,10, 11} has cardinality 23.

A: Set theory is a branch of mathematics in which we deal with collection of well defined objects.…

Q: 19. What is the cardinality of each of these sets? b) {{a}} d) {a, {a}, {a, {a}}} a) {a} c) {a, {a}}

A: Given the set a). {a} b). {{a}} c). {a,{a}} d). {a,{a},{a,{a},{a,{a}}} We find the cardinality of…

Q: Given A={2,4,6,8} and B={1,3,5,6}. What is the cardinality of the union of set A and B?

A: Number of element in A union B is 7. Actually in sets we are not writing same element in twice.

Q: What is the cardinality of the following set? p(R\6)

A: The objective is to find the cardinality of the given set: R/Q¯¯

Q: List the elements of P and find its cardinality, where P = {y € N | 9 < y < 20}

A: Given P = y∈N | 9≤y≤20 Therefore P = 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20

Q: Determine the cardinality of each of the given sets: a) The set T of counting numbers that are…

A: The pair of sets are equivalent if there exists a bijection between then. We product the example of…

Q: Find the cardinal number of the set C={(1/x) ∣ x is an integer that's greater than or equal to 4…

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Q: 1. Suppose that S is a set with n elements. How many ordered pairs (A, B) are there such that A and…

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

Q: What is the cardinality of the set {1,2,3,4,3} ?

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Q: Prove that cardinality is transitive, i.e., show that if |A| |B| = |C| then |A| = |C|. |B| and

A: Answer

Q: Let A ={1, 4, 7, 10, 6, 5}, B = {4, 8, 10, 2, 9}, and C = {2, 3, 4, 5} Show the Venn Diagram of the…

A: A-B is the set of all elements that are in A but not in B. Cardinality of any set is defined as the…

Q: State the cardinality of the set. The set of subsets of {2, 3, 7, 9, 13} 32 c     25 ℵ0 none of…

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Q: Let S = {1,2,3, 4, 5} a. How many subsets are there of cardinality 4? (Note: you can enter “C(n,k)"…

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Q: Let S={1,2,3,4,5,6} How many subsets are there of cardinality 4?

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Q: a) Consider the set X = {0, 5, 10, 15, . . . , 50}. What is the cardinality of the set P(X)?

A: According to the Bartleby guidelines only one question can be solved at one time , post the…

Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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Q: If the cardinality of a set A is 4 and that of a set B is 3, then what is the cardinality of the set…

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Q: Given that |A| = 10 and |AUB| = 24 and |ANB|=7, determine the cardinality of B.

A: We are given that : A=10A∪B=24A∩B=7 Now, we have :A∪B=A+B-A∩B⇒24=10+B-7⇒24-10+7=B⇒21=B⇒B=21⇒Number…

Q: Consider the following sets: U= {−5, −4, −3, −2, −1,0,1,2,3,4,5}, A = {x : x^2 = 25}, B = {−5,…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…