a) Given the Universal set - {  0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Set A = { 0, 2, 4, 6, 7, 9 }  and Set B = { Even numbers } find i)  (AUB’)’ ii)  n(A – B

Q: Define a smallest possible set of which both {1,3,5} and {0, 3,4 } are subsets.

A: The subsets given are {1, 3, 5} and {0, 3, 4}.

Q: Specify the set B in set-builder form by giving a written description of its elements, where…

A: given B={0,1,4,9,16,25} B=0,12,22,32,42,52

Q: Given a universal set containing integers between 0 and 21. Set A contains odd numbers while set B…

A:

Q: 9. Consider the 8-elements set A = {a, b, c, d, e, ƒ, g, h} . How many subsets of set A have 4…

A: Solution

Q: Prove or disprove: For all sets A and B, An(AUB)

A: We have to prove or disprove , for all sets A and B A∩(A∪B)=A.

Q: Set A contains 19 elements, set B contains 22 elements, and 6 elements are common to sets A and B.…

A: A set is a well-defined collection of objects, these objects are called the elements of the sets.…

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: Determine if each set countable or uncountable. Show a proof or argument to justify your decision…

A:

Q: 16. Suppose U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set What is T' ?

A: Given that  U = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} T = { 1, 3, 5, 7, 9 } U is the universal set and…

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

A:

Q: Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares…

A:

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: Give an example of a set that contains nine elements of which two are sets. List three Subsets of…

A: Let the set which contains 9 elements be, A=1,2,3,4,5,6,7,8,9

Q: Let S be the universal set, where: S= {1, 2, 3, ..., 18, 19, 20} Let set A be a subset of S, where:…

A: Let set A be a subset of S, where: Set A={1,5,7,8,12,13,17,18} What is the cardinal number of the…

Q: Let S be the universal set, where: S= {1,2,3,.. 18, 19, 20} Let sets A and B be subsets of S, where:…

A: Definition used -    Union of sets-     A union of two sets is a set in which all elements of both…

Q: 7. (i) Show that the countable union of countable sets is a countable set. Give an example of such a…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 9 } and Set B - { 0, 3, 5, 6, 9} ,…

A: n(A U B) means number of elements in set (A U B).  or Formula can also be used to get n(A U B): n(A…

Q: There are 320 martians traveling together in a spaceship and 128 of them are Male. (*Note: There are…

A: Given Information: Number of Martians is 320 Out of which 128 are male Of the male Martians 56 have…

Q: ct proper subsets are there of the set N = {3, 43}?

A: The number of elements in the set are 2 ( which are 3, 43)

Q: Assume that A = {1, 2, 3, 5, 8, 7} B = {5, 3, 4} C = {2, 3, 5, 6} and that U is the universal set of…

A: It is basic set theory problem

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

A:

Q: 2) het A, B and non- dijoint diagranı be Three Cveyla Ony using sets von Show (B-C)Ule- A) # A-8

A: firstly, we will draw all given set region then we comparing both side

Q: Show that the setA={1/5,1/9,1/13,1/17, ...} has cardinal number א0 by establishing a one-to-one…

A:

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

A: Use combination formula

Q: 1 A class of 40 students was each required having three textbooks in each of Economics, Mathematics.…

A: Topic:- ven diagram

Q: 8. have a job}, draw a Venn diagram relating the two sets, giver that the universal set U={Human…

A:

Q: 1. Let the universal set be the set S = {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A:

Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

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: 17) How many elements are in the union of four sets if the sets have 100, 150, 250, and 400…

A: Here, n(A)= 100, n(B), 150, n(C)=250, n(D)=400 n(A∩B)=15, n(A∩C)=15, n(A∩D)=15, n(B∩C)=15,…

Q: 1. How many ways can you choose 4 numbers from the set p = {4, 6, 8, 10, 12} or 3 numbers from the…

A:

Q: a) Find the cardinal number of the set of letters in the word "MALAYALAM" b) If A = {5, 7, 8,…

A: Cardinal number of a set A is the number of elements of the set A.

Q: a) Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets…

A:

Q: 15 Assume that set S has 11 elements. How many subsets of S have at most 2 elements?

A: Solution : A set S has 11 elements We want to find subset of S have at most 2 elements

Q: Let the Universal Set, S, have 190 elements. A and B are subsets of S. Set A contains 95 element and…

A: Given Information: Universal set S has 190 elements. Set A contains 95 elements. Set B contains 78…

Q: Let S be the universal set, where: S= {1, 2, 3, ..., 28, 29, 30} Let sets A and B be subsets of S,…

A: Explanation of the answer is as follows

Q: A set has 9 elements. How many subsets of S are there with at most 2 elements?

A: Given,            A set has 9 elements. Subsets of S are there with at most 2 elements.

Q: 8. Given the set B={2,3,4} such that (a,b) are the two numbers having the same parity therefore R2…

A:

Q: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8} ,…

A: Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 3, 4, 5, 9}, B = {2, 4, 6, 7, 8}…

Q: How many distinct proper subsets are there of the set N = {4, 49, 63, 12, 36, 55}?

A: A proper subset is subset which is not the whole set itself.    There are 2n subsets of a set where…

Q: 2. Let U = {a, b, c, d, e, f, g, h} be the universal set, and let A = {b, c, d, f, g}, B = {a, b,…

A:

Q: Let the Universal Set, $, have 92 elements. A and B are subsets of S. Set A contains 27 elements and…

A: Given information nS=92 nA=27 nB=57 nA∩B=24 We have to find the number of elements are in neither in…

Q: Let U = {9, 10, 11, 12, 13, 14, 15}, and A = {9, 10, 11, 12}. List all the members of the given set.…

A: GivenU = {9, 10, 11, 12, 13, 14, 15}, A = {9, 10, 11, 12}.

Q: Let S be the universal set, where: S = {1, 2, 3, ..., 23, 24, 25} Let sets A and B be subsets of S,…

A: Given: S={1,2,3,...,25} n(S)=25 A={4,5,12,13,14,17,18,22} n(A)=8 B={1,2,4,6,9,10,15,20,21,22,24}…

Q: Assume that A = { 1, 3, 5, 8, 9}and that U = set of natural numbers less than 11. Find A'. * O {2,…

A:

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

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.