Suppose a set of students’ information is formed as S={Student name, ID, contact number, department}. Determine a database composed of the powerset of the students’ information. Also find the cardinality of the powerset.

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 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: Select the collection of sets that forms a partitic

A: Introduction: A set of disjoint subsets of another set. The original set must be equal to the sum of…

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: Show that the two given sets have equal cardinality by describing a bijection from one to the other.…

A: According to the given information, it is required to show that the two given sets have equal…

Q: Give the cardinality of the set. (If the set has cardinality 80, enter ALEPH NULL.) {44, 45, ...,…

A: To determine the cardinality of the given set.44, 45, ..., 169, 170

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

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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: 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 set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: Calculate the cardinal number of the set Q containing all digits that make up the number q=…

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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: 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: A survey of76college students was taken to determine where they got the news about​ what's going on…

A: Solve

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: A survey of 105 college students was taken to determine where they got the news about what's going…

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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: list out the elements of the set "The letters of the word Mississipi"

A: here, our aim is to find the elements of the set "list out the elements of the set "The letters of…

Q: The Cartesian product of two sets containing five elements each has a cardinality of * O 16 Cannot…

A: Consider the given two sets which have each cardinality 5 Let set A=a,b,c,d,e and B=1,2,3,4,5

Q: Calculate the number of subsets and proper subsets for the following set: {x |x is single-digit…

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Q: A survey of 86 college students was taken to determine where they got the news about​ what's going…

A: Given Information: There are 86 college students in total. Of which, 31 got the news from​…

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: What is the cardinality of the set of letters in the word “vaccination”

A: Given: "Vaccination" We can write the word "Vaccination" as, S=v,a,c,c,i,n,a,t,i,o,n which is the…

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

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Q: Suppose we modify the construction of the Cantor set by starting with the open interval (0, 1) and…

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Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

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: 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: 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: Give the cardinality of the set. (If the set has cardinality 80, enter ALEPH NULL.) {12, 16, 20, ..…

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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 {x|x is an even whole number less than 10}.

A:

Q: Find the cardinality of the set A A= (0. (0). (0, (0) }} Multiple Choice 2. as this set contains…

A: The cardinality of a set is the number of elements in a set. Let A be a set. The cardinality of A is…

Q: A survey of 79 college students was taken to determine the musical styles they liked. Of​ those,31…

A: Such questions can easily be solved by using Venn Diagram as shown in the figure below:

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: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.

A: Given data: The total numbers of objects are n=15. The numbers of objects choose is r=5. (a) Write…

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

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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 survey of 116 college students was taken to determine where they got the news about what's going…

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Q: is The set

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Q: se the roster method to write the set A'.

A: Here use definition of complement of set

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

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Q: Given that |A| = 10 and |AUB| = 24 and |ANB|=7, determine the cardinality of B.

A: We are given that : A=10A∪B=24A∩B=7 Now, we have :A∪B=A+B-A∩B⇒24=10+B-7⇒24-10+7=B⇒21=B⇒B=21⇒Number…

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

A: