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

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A: Given data: The given Venn diagram. The expression for the region of Ac is,

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: 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: 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: Give the cardinality of each set. M:(1st 5 multiples of 5)

A: Given that we need to find cardinality of a set M:{first 5 multiple of 5} Since first 5 multiples of…

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

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Q: The cardinality of the Power set of the set {1, 5, 6} is а. 5 b. 6 с. 8 d. 10

A: The cardinality of a set is the number of elements present in that set . If n is the number of…

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: Show the power set of the following set: A = { {5, 4, 7} , 8, {1} } Question: What is the…

A: Solution

Q: Show that the odd numbers and the natural numbers have the same cardinality

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

A: True. See the attachment

Q: How many subsets of {0, 1, ...,9} have cardinality 5 or more?

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Q: Prove that [2,5] and (3,4) have the same cardinality.

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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: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of 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: 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: We form the union of a set with 5 elements and a set with 9 elements. Which of the following numbers…

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Q: Find the cardinality of each of the following sets.  ? = {2, 5} ? = {3, 4, 5, 6, 7, . . ., 31} ? =…

A: The cardinality of set: The cardinality of a set is the number of elements in the set. An element of…

Q: Find the cardinality of the following sets. 13. C = {1, 5, 4, 11, 13} 14. D = {0} 15. E = ∅

A: The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.…

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: Show that the N and the set {1,3,7, 15, 31, . . } have the same cardinalit

A: To show N and the set S= {1,3,7,15,31...} have the same cardinality, we need to show there is 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: 1. Express the set {x|x is a natural number and 15< x s 23} and give its cardinality (Cardinality is…

A: The given set is: S= x | x is a natural number and 15&lt;x≤23

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: 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: Give the cardinality of the set. (If the set has cardinality ℵ0, enter ALEPH NULL.) {16, 20, 24, .…

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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: 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: 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: how many subsets of {0,1 ....,9} have cardinality 4 or more?

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Q: If a set B has 64 proper subsets of odd cardinality, what is |B|? *

A: Total no os subsets of any set A, with cadinality 'n' is- 2^n Now the no of proper subsets of of A,…

Q: Find the cardinality of the set(22,44,88,176)

A: The cardinality of a set is the number of elements  in the set. The given set is 22,44,88,176

Q: Let A and B be infinite sets that are countable. Do A and B necessarily have the same cardinality as…

A: Given question is Let A and B be infinite sets that are countable. Do A and B necessarily have the…

Q: Any two closed intervals has the different cardinality

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

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

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Q: Match the following sets with their cardinalities. {t, 5, 1, p} Choose... {0} Choose... Choose... {}…

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Q: Find cardinality of each set, n(A) [a]  A={1,2,3,...,300} [b] A={a,b,c,d,...,z}

A: To determine (rather identify) the cardinality of the given sets

Q: If set H is the set of letters in the phrase "HONOR AND EXCELLENCE" then the cardinality of H is:

A: H = set of letters in the phrase "HONOR AND EXCELLENCE" by definition of set, A set is a collection…

Q: cardinality

A: The set of real number and set of complex have the same cardinality. But there is not one to one…

Q: is The set

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Q: State the cardinality of -1,-2, 3,6,7, 12

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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: (c) X = {Bora Bora, Santorini, Bali, Majorca, Capri} is the set of all five items. (i) How many…

A: One can select m items from n items in nCm ways when order of the items is not considered.  Here we…

Q: How many subsets of {0,1,…,9} have cardinality 5 or more?

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Q: 6. Show that A = {-11,–10,–9,...,9,10, 18} has cardinality 30. %3!

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