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

Q: Set A is the set of all natural numbers less than 30 that are divisible by 5.  Express the following…

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Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2, 3, 4, 5, 6}…

A: We will answer the first three questions as per our guideline. Please resubmit the other questions…

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: How many derangements has the set. S? How many derangements of S have 9 in the 2nd position and 1 in…

A: Given, Set S:1,2,.....9 Derangement is a permutation of the elements of a set, such that no element…

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: For each given set, determine if the set is finite or infinite. If finite, give the cardinality. Set…

A: Cardinality = Number of elements in the set.

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: The diagram below shows ten circles joined by five lines with three circles Place all the…

A: Requirements: Numbers should range from 1 to 10.   Every line has three circles.   3. The amount for…

Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can…

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Q: How many subsets of {0,1,...,10} have cardinality 1 or more?

A: Let  We have to find the number of subsets of that have cardinality 1 or more.We know thatIf A is…

Q: If a universal set contains 250 elements,

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

A: From the Venn diagram n(A∩B∩C)=8+3=11

Q: There are infinitely many different infinite cardinalities.

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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: Let S={1,2,3,4,5,6,7,8,9} How many subsets of cardinality 6 have {2,3,5} as a subset?

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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: What is the cardinality of the power set of a set with 4 elements?

A: Introduction: The cardinality of a set:The cardinality of a set is the total number of unique…

Q: Let S be a set consisting of 10 elements. The number of tuples of the form (A, B) such that A and B…

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

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Q: So far we have seen two different infinite cardinalities and how they compare. We natu- rally wonder…

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Q: Let the Universal Set, S, have 78 elements. A and Bare subsets of S. Set A contains 44 elements and…

A: Given data: The numbers of elements in the universal set are n(S)=78. The numbers of elements in the…

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: How many subsets of {0, 1, ..., 8} have cardinality 6 or more?

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Q: cardinality of A X B

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Q: 123 A SUKVEY OF 300 Kos IN bosTON SHOWE THAT 193 EAT AT TACO BELLa 102 EAT AT DEL TACO Í 45 EAT AT…

A: We have to find BC......

Q: How

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

A: The venn diagram shows the cardinality of each set.

Q: Give the cardinality of M:{1st 5 multiples of 5}

A: Given, M:{1st 5 multiples of 5} Since 1st 5 multiples of 5 are 5, 10, 15, 20, 25. So,  M: {5, 10,…