QUESTION 7 How many subsets with at least 6 elements the set of cardinality 8 has? Give your answer in numerical form.

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: 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: 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: Question 9 Let A={3,5} B={2} C={2,3} D%3{1,3,5} .Find the cardinality of sum of all the sets. 0 6 7.…

A: From the given information, Consider, A , B, C and D all are provided sets. A = {3,5} B= {2} C=…

Q: 4. Any non-empty set A and its power set P(A) do not have the same cardinality (i.e. there exists no…

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Q: Do A = {1,2,3, 4,...} and B = {-1,0,1,2, 3, 4, ...}have the same cardinality? O No because elements…

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

A: True. See the attachment

Q: QUESTION 3 What is the cardinality of the following P(P({a,b}))) ? O A. 16 O B. 17 O C. 8 O D.4

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

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Q: Let Ss act on the set X of all subsets of {1, 2, 3, 4, 5} in the natural way. Note that X has 32…

A: Given: A set A= {1,2,3,4,5}  and  Χ=PA Then Χ has a 32 elements.

Q: Let S={1,2,3,4,5,6,7} How many subsets are there of cardinality 5?    (Note: you can enter “C(n,k)”…

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Q: (a) Suppose that we choose three subsets of M such that each of them con- tains 100 elements, the…

A: Let the three subsets be A, B and C  nA∪B∪C=nA+nB+nC-nA∩B-nB∩C-nA∩C+nA∩B∩C Substitute the values…

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

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Q: Example 2.3 Let A be a set with A = n <x. How many distinct subsets does A have?

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Q: For each n ≥ 3, find the number of subsets of {1, 2, . . . , n} of cardinality greater than 2 with…

A: Let X=1,2,3,....n The number of subsets of X with m elements is given by, Cmn

Q: 3. Determine the following cardinalities. (a) A = {1,2, {3, 4, 5}} |A| =. (b) B = {{1,2,3, 4, 5}}…

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Q: There are infinitely many different infinite cardinalities.

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Q: 1. Choose a topic that has at least ten items that can be divided into three subsets, with some of…

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Q: Question 5 If A is a countable set and Bis an uncountable set, then the MOST we could ever say about…

A: (5) We have, A is a countable set and B is an uncountable set. Let us consider that, AB is an…

Q: Question 1 In a group of 90 people, 80% of them like the TV series "Friends", 70% of them like the…

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Q: List all of the proper subsets for the following set: (b) { ∅ , { ∅ } }

A: The given set is an empty set. Empty set is a subset of every set, because every element in empty…

Q: Question 10 . Let A.S.C be sets with: JAl = 7 |B| = 7 | = 18 Determine the lower and upper bound for…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

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: 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: Indicate the cardinality of the set A, defined as the union of four sets of cardinalities 22, 31,…

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Q: 1. Let S = {1,2, 3, 4, 5, 6}. Find the following. a. Number of subsets of S of cardinality 5 and…

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Q: Attached

A: AnB represents intersection of sets i.e. a set with the common elements of A and B.So here the…

Q: (6) A subset A of R is called co-finite if its complement R\ A is finite. What is the cardinality of…

A: Given a co-finite topological space of reals. We have to find the cardinality of co-finite sets.

Q: Theorem 1.16 (Cantor's Theorem). The cardinality of the set of natural numbers is not the same as…

A: To prove the set of real numbers is uncountable, it is enough to show the subset (0,1) of R is…

Q: Question 11 If for a set A= 0, then the cardinality of power set P(A) is.. . 1 none

A: Given a set A=ϕ

Q: (a) Define the followings and give one example of each. (i) Indexed family of sets (ii) Cardinality…

A: To define (i) Indexed family of sets (ii) Cardinality of sets (iii) Partition sets

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: 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: Is it possible for two nonempty sets to have the same intersec-tion and union? If so, give an…

A: When two sets A and B overlap that is A = B, then the intersection and union of the  sets A and B…

Q: Question 4. Let A = {2n | n E N} be the set of positive even integers, and let B = {; | n E N} be…

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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: Problem 1. Give a combinatorial proof that the number of subsets of {1,...,n} with even cardinality…

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Q: 6. Determine all the possible topologies X = {1, 2, 3, 4, 5, a, b, c² 3 sex

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Q: Find the cardinality of the set {x|x is an even whole number less than 10}.

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Q: Question 3. Prove using the short north-east diagonals or any other mathematical method of your…

A: Given that A is an enumerable set The fact that the Cartesian product of ℕ and any finite set is…

Q: ) We know that {-5,-4,-3,-2,-1} and N are wellordered sets with respect to the trivial ordering. Let…

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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: 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: QUESTION 2 Use braces to write the members of the set, or state that the set has no members. The…

A: Given that  The whole numbers which are greater than 3 and less than 7.

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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