If a universal set contains 250 elements,

Q: Prove the following set infinite: {5,9,13,17,...}

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Q: If a given set has 15 elements how many of its subset have at most two elements

A: Given, No of elements=15  how many of its subset have at most two elements

Q: define a set of which both {1,3,4} and {0,3,5} are subsets find such a set with the smallest…

A: We have to find the set with smallest possible number of elements which both {1,3,4} and {0,3,5} are…

Q: Explain the main difference between Julia set and a Mandelbrot set.

A: We know that, For a complex numbers c, Both Julia set and Mandelbrot set of c is the set of all z…

Q: If set Z has 7 elements, how many subsets does it have?

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Q: The set of elements common to both set A and set B is called ----------------- the of sets A and B,…

A: Sets are basically a collection of well defined and distinct objects. These objects can be anything,…

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

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Q: Write down the non-empty proper subset of the set {a,b,c}. Make sure to use correct notation…

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Q: A standard deck of cards contains 4 kings, one each from each of the 4 suits. If this relationship…

A: Intersecting Sets because each set would have one member who is also a member of the other set.

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: The set of elements that are members of set A or set B or of both sets is called the. of sets A and…

A: Note that, a set is a collection of objects. All the object that are clearly determined in a set are…

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: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Provided information is , n(S)=146 n(A)=84 n(B)=25 n(A or B)=n(A U B)=103 Definition of B∩ Ac: It…

Q: (b) Use set theoretic notation to describe the set of all students that were only satisfied with…

A: Given: Venn diagram of given information is given below:

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: A set which has ho element is said to be

A: A set with no elements = { }

Q: 2- consider the set of all finite subsets of N, is this set countable or not, prove it?

A: Consider the set of all finite subsets of N, is this set countable or not, to prove it.

Q: Show that if A is an infinite set, then whenever B is a set, AUB is also an infinite set.

A: we have to prove that AUB is infinite set.  Since, given A is infinite set. since we know that…

Q: why Ua equals to empty set

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Q: The symmetric difference of sets A and B, consists of those elements which belong to A or B but not…

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Q: A universal set U with 117 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A:

Q: How many unordered sets are there of two items chosen from four? sets

A: To Find: How many unordered sets are there of two items chosen from four? Concept: Crn=n!r!n-r!

Q: Let A and B be infinite sets that are uncountable. Do an and B have the same car finality as each…

A: Let A and B be infinite sets that are uncountable. Do A and B have the same cardinality as each…

Q: A set contains 7 distinct elements. How many subsets can be formed from the elements of S that…

A: Use combination formula

Q: If A is set of all vowels in alphabets.Then number of subsets of A is

A: Given: A contains all vowels  So, A = a, e, i , o , u Number of elements in A = 5

Q: What is meant by Union of sets?

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Q: How many subsets of set S = {1, 2, 3, 4, 6} do not contain odd numbers? Use bijection to solve this…

A: Solution S={1,2,3,4,6}

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: If the union of two sets is countable, then each set is also countable.

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Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size 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: How many elements does the successor of a set with n elements have?

A: Successor of the set, A is formed by adding an element {A} to the set. So, successor of A will be A…

Q: In a set of eleven elements, two subsets A and B shall be determined, such that A contains 6…

A: Let U denote the set of eleven elements,  A is subset of U containing 6 elements and B is the set…

Q: Define a set of which both {1, 3, 4} and {0, 3, 5} are subsets. Find such a set with the smallest…

A: {0,1,3,4,5} is the smallest set that contains {1, 3, 4} and {0, 3, 5} as sub-sets.

Q: How

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Q: If sets X union Y are countable, then prove or disprove that both X and Y are countable.

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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 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: How to Apply the Archimedes'principle to prove that a set is empty

A: Consider the given information. the Archimedes' principle is defined as, Property states that for…

Q: How many subsets is obtained from a set with 5 elements?

A: Given n=5

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

A: Solve

Q: If 1/3 of the blocks in set A are red, and 1/4 of the blocks in set B are red, does it follow that…

A: Given 1/3 of blocks in set A are red and 1/4 of blocks in set B are  red

Q: Suppose that set A has 17 elements, set B has 10 elements, and their union has 18 elements. If the…

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Q: ind the all possible number of different multi sets of size '4' from -element set, in which at least…

A: In this question, the concept of permutation is applied. Permutation Permutations are frequently…

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: Show that (B - A)U(C- A) = (BUC)- A 1) Using a Venn diagram 2) Using the definition of equal sets

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Q: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C. If B is 4…

A: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C.

Q: How many subsets of a set with 50 elements have more than one element?

A: Introduction:  Here we need to find how number of subsets have more than 1 element. Given:…

Q: (1point) How many elements are in the union of four sets if each of the sets has 99 elements, each…

A: To find: The number of elements are in the union of four sets if each of the sets has 99 elements,…

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

A: