Q4) Let A = {1,2,3,4} be the given set. Find 1. п(Р(A)) 2. Write power set, P(A) 3. Write a class where the sum of elements is at least 7

Q: List all the subsets of the given set. {g, k, v} Choose the answer that lists all of the subsets of…

A:

Q: 5. (a) Let A ={1,2,3,4,5} and B = {2,3,4}. How many sets C' have the property that C C A and BC C…

A: (a) The given set A is as follows. A=1,2,3,4,5 The subsets of A such that B is a subset of it is as…

Q: Find the number of subsets for the set. M = {x |x is an integer between 3 and 7} Set M has subsets.

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: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

A:

Q: Let A={1,2,3,4,5} and B={2,3,4}. Find C such that CCA and BC. (There are more than one possible sets…

A: A set is a collection of objects. A set has the property that elements in the set cannot be…

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: 6. Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Determine which of these…

A: Solve the above question.

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}.  List all the…

A: Given: As per bartleby guidelines for more than one questions asked only one question is to be…

Q: If {An's -ħ,8+ n) is a sequence Of sets where An=(5 a monotone sequence of set. then {Ans is

A:

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: (Q x {-n,n})U{-1,0,9,11,17} is an uncountable set a countable set

A:

Q: Let U = {−4, −3, −2, 0}, V = {a, b, c}. How many subsets does the set U × V have?

A:

Q: 5. Give an example (by words) for a collection of objects which is not well defined

A: Given, We have to write an example for a collection of objects which is not well defined.

Q: Example A o B are ndep, How about their subsets.

A: Two events are independent if the occurrence of one does not effect the probability of other.…

Q: 4. Suppose there are three sets A, B,C. (a) List all the possibilities for where an element could…

A: 4. Let A, B, C be three sets. The possibilities for an element( say x)could be, is discussed 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: 5. Let S be a set containing 8 elements. What is the number of subsets of S containing at least two…

A: Question 4: A relation ~ on set N of natural numbers. For natural numbers, n and m,  n~m⇔ϕn=ϕm. To…

Q: A combination of 3 balls are picked at random from a box containing 5 green, 4 white, and 3 black…

A: Hope this is useful.Thankyou

Q: In a school, 100 students have access to three software packages A, B and C 28 did not use any…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

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: 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: A survey of 60 students at a campus on the preference of Red Curry and Green Curry was carried out.…

A: 1) It can be possible because there can be students who like both Red curry and Green curry.  There…

Q: (BUA)'= Give a 3 element subset of set B.

A: Given : U = 1,2,3,4,5,6,7,8,a,b,cA = 2,4,6,8B = 1,2,3,4,a,bC = 4,8,a,c

Q: . II is the set of even integers. Which set is a proper subset of I? a,{}{} b{−3,−1} c{2,3,4}…

A:

Q: Let U={1, 2, 3, 4, 5, 6, 7). A = {2, 3, 5, 7), and B={2,4, 7}. Find the set A' n B".

A: Given,         ∪=1,2,3,4,5,6,7          A=2,3,5,7          B=2,4,7

Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

A:

Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

Q: Q2) Let A = {1, 2, 3, 5} and B = {-1,0,1,2,3,4, 5, 6} be the two sets. Draw A and B on Venn diagram…

A: Given,          The two sets are A=1,2,3,5 and B=-1,0,1,2,3,4,5,6.

Q: Which of the following sets spans R3 ? Os = {(2, -1, 4), (3, -3, 5), (1, 1, 3)} S= {(2, -1, 4), (3,…

A:

Q: 3. Given the set A={ 4, 5, 8} for same parity. Find R2

A: If two integers are either both even or both odd, they are said to have the same parity.

Q: The table shows some trees that are in two city parks. Let U be the smallest possible set that…

A: R ={birch,b ),dogwood d )(mabble )(cherry ,c) S={cherry,c) ,(elem e) (birch ,b)

Q: Q3 In a plane of 160 passengers, the airline has provided 48 meals of chicken rice, 78 meals of…

A:

Q: Deter mine al subset relationships, amang the sets {1,2,3, 4? , {2.4,63, {2,4}, {X€NI<<63,Ø

A:

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: 6. Determine all the possible topologies X = {1, 2, 3, 4, 5, a, b, c² 3 sex

A:

Q: 10. (a)Prove or disprove: Given the nonempty sets A, B, C, if A ⊂ C and B ⊂ C, then A ⊂ B.(b)If we…

A:

Q: 23 In a plane of 160 passengers, the airline has provided 48 meals of chicken rice, 78 meals of…

A: A Venn diagram is an illustration that uses circles to show the relationships among things or finite…

Q: 5. (a) How many functions are there from a set with n elements to a set with m elements?

A:

Q: In a school, 100 students have access to three software packages, A, B and C 28 did not use any…

A: Given: There are three software packages A, B &amp; C. There are in total, 100 students who have…

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: Give an example of a set in R ^ 2 with the usual topology that does not have any subset (not…

A: Given that R2 with the usual topology. The aim is to find an example of the set  R2 with the usual…

Q: Let  A1 = {1,2,3,4,5}, A2 = {6,7,8,9,10,11,12} and A3 = {13,14,15,16,17,18,19}.  How many non-empty…

A:

Q: 3. Let Si = {A, B, C, D, E}, S2 = {H, F, D, B}, S3 %3D {В, Е, Н, К}. (a) Write a set expression that…

A: Given, S1 = A, B, C, D, ES2 = H, F, D, BS3 = B, E, H, K

Q: 2. Using the set-roster notation. a. Let A = {1,2,3}, B = {3,1,2}, and C = {1,1,2,3,3,3,3}. What are…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Find the number of subsets for the set. M= {x | x is an integer between 2 and 8} ... Set M has…

A: Given: M=x | x is an integer between 2 and 8 To find: The number of all subsets for the set M.

Q: Let S be the set [9] [1.2. (a) How many derangements 9). has the set S? (b) How many derangements of…

A: Given, Set S:1,2,.....9 Derangement is a permutation of the elements of a set, such that no element…

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”.