cardinality

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

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Q: A survey of households reported what type of entertainment providers are use at home. The results of…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {−995, −994, .…

A: This is a problem related to sets. Cardinality of the function is generally defined by number of…

Q: The cardinality of { Ø, 1, 2, 2, {1, 2}} is

A: We need to find the cardinality of { ϕ, 1,2,2,{1,2}}.

Q: Let's compare the cardinalities of N and I.

A: We will find out the required solution.

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: Suppose f function between infinite sets A and B, f is not onto function, does the sets A and B have…

A: Yes. It is possible that A and B have same cardinality. Let A and B both are the set of natural…

Q: 6) Define the cardinality definition of addition.

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Q: Suppose a set of students’ information is formed as S={Student name, ID, contact number,…

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Q: What is an example of two equivalent sets with the same cardinality BUT DO NOT HAVE a one-to-one…

A: Take A as, 1,2,3 and B as 3,4,5 The cardinality of A and B is 3. Now let's define a function.

Q: Is the relation of “mapping” between two sets used to determine cardinality - and not used to…

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

Q: prove or disprove using any valid method of proof for sets

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Q: Let A = {distinct letters occurring in the word HIPPOPOTAMUS}. What is |A|, the cardinality of the…

A: Cardinality of a set is defined as the number of distinct element in that set.

Q: Determine the cardinality of the Power set {a,b,c}

A: Given: A set a, b, c. To find: Cardinality of power set of given set.

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

A: Sets are basically a collection of well defined and distinct objects. These objects can be anything,…

Q: true or false and why ? The set [0,1] has the same cardinality as ℝ .

A: True. See the attachment

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

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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: Give the cardinality of the set. (If the set has cardinality No, enter ALEPH NULL.) {-31, –30, .·,…

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Q: Let X be a set and P(X) its power set. Explain what it means that the cardinality of P(X) is…

A: It is required to explain the meaning and to prove that the cardinality of power set P(x), of X, is…

Q: What is the cardinality of the given sets? |{“english alphabet”}| |{“dwarfs of Sleeping Beauty”}|

A: We need to find out the cardinality of the given sets. The cardinality of a set is the number of…

Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {−31, −30,   ,…

A: We have to find cardinality of set

Q: Do infinite uncountable sets have the same cardinality? If yes explain why. If no give a counter…

A: No. Infinite uncountable sets may have different cardinality.

Q: If A={4,5,6}, find its power set P(A). What is the cardinality of this power set?

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Q: (2) Cantors Paradox demonstrates that there is no set of all sets. We know that every set has a…

A: Cantors Paradox states that there is not set of all sets. Proof:  We know that every set has a…

Q: 4. Explain how bijection can be used to define the cardinality of an infinite set. Using that idea,…

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Q: Proving a divisibility relation is transitive

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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: Show that the given set has a cardinality of No by establishing a one-to-one correspondence between…

A: Here the function is  f(n) = -6n-6  Consider two points n1, n2,  f(n1) = f(n2) should imply n1 = n2

Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {−31, −30, ...…

A: Solution: The objective is to find the cardinality of the given set

Q: cardinality of A X B

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Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {1/2, 1/3, 1/4,…

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Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {−998, −997, .…

A: Cardinality:                   The number of elements present in the given set is called the…

Q: Give the cardinality of the set. (If the set has cardinality 80, enter ALEPH NULL. {-992, –991, .…

A: Cardinality of finite set is the number of elements it contains. Now the given finite set is…

Q: proper subset of another set

A: Given: a. A=1, 2, 3b. B=3, 2, 1c. C=Hello, Hi, Good Morningd. D=a,c,g,xe. E=3, 1, 2, 5, 7f. F=∅g.…

Q: In a regular deck of playing cards there are 26 red cards and 12 face cards. Explain, using sets and…

A: Given: In a regular deck of playing cards there are 26 red cards and 12 face cards.Let R be the set…

Q: Prove that empty set is subset of all sets: φ ⊆ A     Please help me figure this question out.

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Q: Let U be the universal set of all the letters in the English alphabet. What is the complement of the…

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

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Q: State the cardinality of the set. {x|7 ≤ x ≤ 9}

A: Given that x|7≤x≤9To find : cardinality of the set.Solution :cardinality -cardinality  refers to the…

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

A: Answer

Q: show vacuous proof of statement that "empty set is a subset of any set"

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Q: Any two closed intervals has the different cardinality

A: we know that any two closed intervals has the same cardinality

Q: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {47, 48, . . .…

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

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: is the cardinality of the set {characters in set A}?

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…