In a regular deck of playing cards there are 26 red cards and 12 face cards. Explain, using sets and what you have learned about cardinalities, why there are only 32 cards which are either red or a face card.

Q: How many subsets are there of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}? How many of these subsets are proper?

A: Let the given set is A, having elements as

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: Which set has higher cardinality: N or Z? Explain with example

A: Cardinality: The cardinality of a set A is the number of elements present in the set A. We denote…

Q: Suppose S is a set with cardinality n. What is the cardinality of the power set of S ? Are there any…

A: Suppose S is a set with cardinality n. Then power set of S contains 2n elements . Power set of any…

Q: Build a Venn diagram. •Use the names of the sets to label the regions. •Place the numbers in the…

A: Venn diagram of given set is shown below :

Q: Determine the cardinality of the Power set {a,b,c}

A: Given: A set a, b, c. To find: Cardinality of power set of given set.

Q: If there were only 3 types of music in the world: pop, rock and rap. Let set A equals all the people…

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Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow…

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Q: What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?

A: The set contains 6 elements . We know that number of subsets of set of n elements is 2^n. So given…

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: what are subsets?

A: Let us consider two sets A and B.A is called subset of B if and only if B set have all elements of A…

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: What is meant by the Cardinality of a finite set? Give one example.

A: The cardinality of a set is meant by the number of elements of the given set. If the set has no…

Q: A bag contains two red marbles, two green ones, one lavender one, four yellows, and three orange…

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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: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can…

A: Let us assume that: Pi=The point assigned to the ith question.   Given that:  Each question must…

Q: In the set of {1,2,3,4,5,6} can we use the formula 2^n (n stand for how many even number inside the…

A: This is a problem of set theory.

Q: why Ua equals to empty set

A:

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: The inter setion of infuite opeh sets need notto bo oPen.

A: The given problem is to show that the intersection of infinite open sets need not to be an open set.

Q: How many proper subsets does the set R, colors of the rainbow, have? R={ red, orange, yellow, green,…

A: We have to find the number of proper subsets does the set R, colors of the rainbow, have R={ red,…

Q: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

A:

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

A:

Q: Suppose we want to choose 5 objects, without replacement, from 18 distinct objects. a) If the order…

A: Given,Total no.of distinct objects=18

Q: Explain why in a drawer containing only two different colors of socks one must draw only three socks…

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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: How

A:

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: 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: A set with 6 elements has —- subsets

A:

Q: The symbol Ø refers to the empty set. What is the cardinal number of the empty set?

A:

Q: Find the complement of the set given that  U = {2, 3, 4, 5, 6, 7, 8, 9, 10}.  (Enter your answers…

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Q: The cardinal number of ​{2​, 4​, 6​, 8​, ​..., 1002​} is enter your response here.

A: Given the set is  {2,4,6,8,....1002}

Q: Suppose we want to choose 6 objects, without replacement, from 9 distinct objects. (a) If the order…

A: Solve

Q: Choose a real world example that makes use of a Venn diagram that involves at least three sets.…

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Q: What is the cardinality of the set {1,2,3,4,3} ?

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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: the collection of the five worst U.S Presidents well defined and a set?

A:

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: We form the intersection of two sets. We know that one of them has n elements and the other has m…

A: Given : A=n , B=m To Find : Cardinality of A∩B

Q: is the cardinality of the set {characters in set A}?

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: what is the cardinal number of the set {1, 3, 7, 4, 22, 16, 12}? Where denotes the set of all…

A:

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

A:

Q: Consider a bag containing seven red marbles, two green ones, one transparent one, seven yellow ones,…

A: Determine the number of sets of five marbles include at most one of the red ones but no yellow ones.…