,  1 25,  1 125,   ,  1 5n − 1,       Let N =   1, 2, 3,  , n,

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: Which among the sets is open? O [0,1) O (01/1/3,1/2,1} R\[a,b] None of the above.

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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: 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: 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: Sometimes the notation for the cardinality (number of elements) of a set is |A|. For example, for…

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Q: Let A = {1, –2, 3, -4, 5, –6, 7} and B= { prime numbers less than 20}. What is the cardinality of B\…

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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: 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: 5. For each pair of sets, give an explicit bijection from one to the other, showing that they have…

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Q: Please answer all questions Question1: A password is a string of 8 characters taken from the…

A: GivenThe number of strings in a password =8 The number of alphabets =26The number of digits =10The…

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 A = {1, 2, 3, 4, ..., 20}. What is the cardinality of the power set of A, P(A)?   Fill in the…

A: Cardinality of Set --: The Cardinality of a set is the total number of unique elements in the set.…

Q: S1 = {1,5,25, 125 ,625 ,3125} S2 = {5,11, 17, 23,29,35} S3 = {1,25, 49, 221,169, 289, 3124} S4 =…

A: The solution is given below

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: Find n(A) for the set A. 1 2 3 4 3'4'5'6'29'30 27 28 The cardinal number of set A, n(A), is

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Q: A 8 C 9 n (An Bc) = [ 8 3 5 6 13 B 8 9

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Q: Use the numerals representing cardinalities in the Venn diagram shown to give the cardinality of…

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Q: (a) Let U be the set of the total number of students at a school, A be the set of students who play…

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

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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: 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,…

Q: Five books of five different colors are placed on a shelf. The orange book is placed between the…

A: Given that, five books of five different colors are placed on a shelf.The orange book is placed…