List all the sunset of the sets given: (a) A = {8} (b) B = {dog, cat}

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

A:

Q: How many subsets of the set {1,2,3,4,5,6,7,8} have cardinality 3 or less?

A: Here we need to find how many subsets of the set A={1, 2,3,4,5,6,7,8} have cardinality 3 or less so…

Q: List all the subsets of the set                   { –1, 0, 1 }.

A: All subsets of {-1,0,1} is:

Q: List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without…

A: 4 objects are 1,2,3,4 If we have to choose 3 out of 4 (without repetition) Then, First object can be…

Q: Let's compare the cardinalities of N and I.

A: We will find out the required solution.

Q: What is the power set of X? How is it denoted?

A: The power set of a set X, is defined as the set of all subsets of  Set X including null set. It is…

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: Define two sets, call them A and B, that makes the following statement true; if it is impossible to…

A:

Q: (4) Find the number of subsets for the set {x | x is a season of the year}

A: we have a set A=x|x is a season of the year

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: 2 > ]x – 4| X-1

A: Given,          2x-1≥x-4

Q: Find the number of subsets of the given set x | x Is an even counting number between 7 and 21

A:

Q: How many subsets does the set  F = {4, 5, 6, 7, 8}  have?

A: Given : F = 4, 5, 6, 7, 8

Q: What is the class width (i) if one of the class interval is 18-26?

A: If class interval given is 18-26 The class width is difference between upper interval and lower…

Q: 2. If a set X has n elements, how many elements are in the power set P(X), we exclude the empty set…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: How may elements are in the set [-2, 2] \N?

A:

Q: Find the number of subsets of the given set.

A: Set A = {1,2,3,4,5,6,7,8,9}              The number of elements , n = 9

Q: List all subsets of the given set. {yes, no, undecided}{yes}, {no}, {undecided}, {yes, no}, {yes,…

A: {yes, no, undecided} has three elements in it.  So there will be 23=8 subsets of it.  Only second…

Q: Specify the set by roster. {Distinct letters in the word television

A: Given data: {Distinct letters in the word television}   To find: Specify the set by roster.

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: Explain what is a finite set. Give relevant example along with.

A:

Q: What set is in another class of infinity that is bigger than N?

A: We know that N represents set of natural number which is countably infinite. In order to get set…

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: 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: n to show the set.

A: Part which in E and D or not in B   Part which is in A and B and C

Q: Describe the set S = x :12 x − 3> 4in terms of intervals

A: Given: S=x:12x-3>4 To Describe: Given set in the intervals.

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: A set of ordered pairs in which each member of the set of first components corresponds to exactly…

A: We fill the blank space as,

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: List all subsets of the given set. (α, β, Γ, Δ}

A:

Q: Calculate the number of subsets and the number of proper subsets for the given set.   ​{ x​ | x∈N…

A: Given set is x|x∈N and 8<x<13. Let A=x|x∈N and 8<x<13 We have to calculate the number of…

Q: The intersection of sets K and L will

A: our objective is to find the intersection

Q: The set {......., -4, -3, -2, -1, 0, 1, 2, 3, 4, .....} is called the set of -------------.

A: Numbers are constructed by first starting with 1. Then all numbers which can be written as sum of 1s…

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

A:

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

A:

Q: Identify the set shown below as finite or infinite, {10, 11, 12, ..., 40} ..... OInfinite O Finite

A:

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

A:

Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

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

A: To find unordered sets of two items chosen from eight. Number of unordered sets r chosen from n is…

Q: How many subsets are there of the set N = {6, 49}?

A:

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

A: We have to find number of unordered sets of two items chosen from four items.

Q: 3. Find the number of subsets for set containing 3 elements.

A: Given set  containing 3 element

Q: How many elements are in the set {0, {0}}?

A:

Q: specify the set by roster distinct letters in the word (mathematics)

A: Given that

Q: A set contains fourteen elements. How many subsets can be formed from this​ set?

A: Given that A set contains fourteen elements. To find How many subsets can be formed from this​ set

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: Find the number of subsets of the given set. {x|x is an even counting number between 9 and 19}

A: We will find the number of subsets of the given set.

Q: what are infinite subsets?

A: First understand, what is an infinite set?

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”.