(a) All you know about two sets S and T is that they are subsets of the universal set U = {1,2,3,4, 5, 6}, and that |S| = 5 and |T| = 3. What are all of the different possible values of |P(SNT)I, the size of the power set of the intersection of S and T?

(a) All you know about two sets S and T is that they are subsets of the universal set U = {1,2,3,4, 5, 6}, and that |S| = 5 and |T| = 3. What are all of the different possible values of |P(SNT)I, the size of the power set of the intersection of S and T?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Given the classical sets A = {9,5,6,8,10}, B = {1,2,3,4,7,9} and C = {1,0}, define on universe X =…

A: According to answering policy we can answer only 1st question. For remaining questions you can…

Q: Use a direct proof technique to prove the following theorems: For all integers x and y, x2 + y2 −…

Q: 6. Say whether each of the following is true or false. Give a brief explanation. • For every set A,…

Q: 4. Find an example of sets A and B such that ACB and AeB.

A: Finding examples of sets with the given relation.

Q: A collection of 3-vectors, U. is defined over Z₂ by the condition Which of the following statements…

A: Option A is incorrect as (1,1,1) does not belong to U [as (1.1.1)mod2 ≠0 Option B : is…

Q: 15. If S1 and S2 are two semialgebras of subsets of 2, show that the class S1S2 := {A1A2 : A1 e S1,…

A: Given : Given two semi algebra classes. Name of classes : S1 and S2.

Q: Analyze the approximation algorithm of the problem consists of a finite set X and a family F of…

A: Here we analyze the given problem:…

Q: 4. The subgraph-isomorphism problem takes two graphs G1 and G2 and asks whether Gl is isomorphic to…

A: Actually, graph is a non linear data structure which consisting of nodes and edges.

Q: Consider the following set of FD's: F = {A → B, B → A, A → C, C → A}. Which of the following sets of…

A: To be a canonical cover of an FD it must follow 3 rules: 1) Singleton RHS {means X->YZ this…

Q: Prove that cardinality is reflexive, i.e., show that a set has the same cardinality as itself.…

A: Complete answer is given below .

Q: Computer Science Show that every infinite Turing-recognizable set ?? contains an infinite decidable…

A: Let L be an infinite Turing recognizable language. We know that “A language is Turing…

Q: Question. 3; We are given 10 feature vectors that originate from two classes w₁ and w₂ as follows:…

A: Note : Answering the ques in python as no programming language is mentioned. Task : Given the…

Q: Construct an explicit bijection between the following sets. Once you've done that, construct…

A: Given: Construct an explicit bijection between the following sets. Once you've done that, construct…

Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) w is the set of all…

A: In order to check whether a Vector Space is a Sub Space of another Vector Space, We can perform the…

Q: 2. a) If A, B and C are three sets, complete the following De-Morgan's laws i. (Au B)= (An B)'= ii.…

A: 2. a. According to demorgans law, 1. (A union B)'=A' intersection B' 2. (A intersection B)'=A' union…

Q: For each of these pairs of sets in 1–3 determine whether the first is a subset of the second, the…

A: Note: part 8 of question is not clear provided. we have provided first five parts for you..

Q: Consider a set S= (5, 10, 12, 13, 15, 18) and d = 30. Solve it for obtaining sum of subset.

A: The Answer is

Q: Show by membership that for all sets A, B and C: A – (AnB) CA – B

A: We've done so. A−(A∩B) =A∩(A∩B)c [ Because we have XY=XYc for any two non-empty sets X and Y, where…

Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

A: ANSWER:-

Q: Show by membership that for all sets A, B and C: A - (AnB) CA-B

A: We are given a relation in sets and we have to prove whether given relation is true or not. We will…

Q: 4, By constructing two function f and g, f,g: (0, 1] → R such that f is injec- tive and g is…

A: The solution for the above given question is given below:

Q: Show by membership that for all sets A, B and C: А - (AnB) CA - В

A: Given: We have to show that for all sets A , B and C: A - (A ∩ B) ⊆ A - B

Q: Prove by contradiction, for any sets A and B , if A C A– B, then An B=Ø

A: Here given, two sets A and B; given: A ⊆ A-B To prove:A∩ B=∅

Q: Is is possible to define a function from a finite set to a smaller finite set that is one to one? If…

A: It is given that the size of the codomain is smaller than the size of its domain. For a function to…

Q: Given A and B are sets, prove that (A ⋃ B) ⋃ C = A ⋃ (B ⋃ C) by showing (A ⋃ B) ⋃ C ⊆ A ⋃ (B ⋃ C)…

A: We are going to prove associative property in sets which is : (A ⋃ B) ⋃ C = A ⋃ (B ⋃ C). Please…

Q: 2. Determine all a-level sets and all strong a-level sets for the following fuzzy sets: а. А%3D (3,…

A: Solution :: An alpha-cut of the membership function A (denoted aA) is the set of all x such that…

Q: Can you conclude that A = B if A, B, and C are sets such that Yes No AUC =BU C? ANC=BN C? AUC =BUC…

A: We are going to prove if we can conclude two set A and B are equal from given statements or not. I…

Q: Let A = {1, 3, 5} and B = {3, 4, 5} be sets. %3D Which of the following are elements of A x * B (1,…

A: Answer: (1,3) (5,5)

Q: Find out all subsets of set A = {1,2} Find out all subsets of set B = {a,b,c} Find out all proper…

A: ConceptIf there are N elements in a set then, the formula to find the number of subsets is 2N and…

Q: 2. Determine all a-level sets and all strong a-level sets for the following fuzzy sets: а. А%3D (3,…

Q: Is A a subset of B if; A = { 9, 8, 7, 6, 5} B ={ 5,6, 7, 8, 9}

A: Overview : A collection of elements is known as a subset if all the elements of the set are…

Q: Let S and T be sets with: |S| = 5, |T| = 7 How many onto functions are there from S to T? А. О В. 57…

A: There are A. 0 onto functions from S to T.

Q: For each pair of graphs G1 = and G2 = a) determine if they are isomorphic or not. b) Determine a…

A: The given graphs are isomorphic if they have: 1. Equal number of vertices.2. Equal number of…

Q: Let A, B,C be sets. Prove or disprove A - (A – B) = AnB

A: It is defined as a natural for us to classify items into groups, or sets, and consider how those…

Q: Let S= { 6, a, {a}}. Determine whether each of these is an element of S, subset of S, neither, or…

A: Given set S={ϕ, a, {a}} The subsets are constructed by considering or leaving an element in set…

Q: Is A a subset of B if; A = {5,2,1} B ={ 6, 1, 2

A: In mathematical computation, a set X is considered to be a subset of another set Y if X consists of…

Q: .et U={1,2,3,4,5,6,7,8,9,10} , A={ 2,3,4,7} B=( 1,4,8,9} , C={8,2,4).Find the elements of each sets.…

A: Ans.) a.) (A ∩ B) - (C -B) = {4} b.) ((C ∩ A) - (B -A) ) ∩ C ={2,4}

Q: (1) (a) For any sets A, B, and C. Show that (AUBUC)U(A – (BUC)) = BUC |

A: The answer is given in step 2.

Q: Given set S and T. Both S and T are not TM-decidable but both sets are TM-recognizable. Is the…

A: SUMMARY: -Hence, we discussed all the points.

Q: Prove: If a set A is a subset of the empty set, then A itself has to be an empty set.

A: If a set A is a subset of the empty set, then A itself has to be an empty set.

Q: 4. Consider the set V of vectors (x,, X2, X3, X4) ER such that X1+ X3 = 0 and x2 + x4 = 0. %3D a)…

A: Answer

Q: Find the union, intersection, and difference (? − ?) of the following pairs of sets. (a) ? = The set…

A: a) A = The set of positive odd integers less than 15. B = The set of positive even integers less…

Q: Suppose that A = {3, 7,1 6}, B= {3, 16}, C = {7, 16}, and D= {7,8, 1 6}. %3D Determine which of…

A: A subset of a set is the set that has only elements that are present in the set of which given set…

Q: Let A = {1, 3, 5} and B = {3, 4, 5} be sets. %3D Which of the following are elements of A x B {1, 3}…

A: Answer: (5,5) (1,3)

Question

100%

Hi tutors! this is a discrete math problem. I need help to understand this :( I need explanationm/justification :( Please. Thank you in advance! Please don't reject these.

Problem 5. Miscellaneous!
(a) All you know about two sets S and T is that they are subsets of the
universal set U = {1,2,3,4, 5, 6}, and that |S| = 5 and |T| = 3. What are
all of the different possible values of |P(SNT)|, the size of the power set of
the intersection of S and T?
(b) Determine, with explanation, whether the following statement is true or
false:
Vx € Z, [x – 0.5] < [¤]
(c) Let R be the relation on the set S = Z given by
R= {(a,b) | a – b= 1}.
Determine, with explanation, whether R is transitive.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Construct an explicit bijection between the following sets. Once you've done that, construct injections going in opposite directions as if you were aiming to apply the S-B Theorem. Reflect on how much nicer it is to use S-B. a. (0,1) and [0,1)b. (0,1) and [0,1] Please note that in this assignment, it is not enough to simply give a function and state that it is injective/surjective/bijective. You have to provide a PROOF that the function you're providing has these properties.
Let the Universal set be {a,b,c,d,e,f,g,h,i,j] Consider the subsets A = {a,d,h,i} B= {b,c,d.,f,i,j} C = {a,c,e,f,g,} What is (An B' )'?
) Let O be the set of odd numbers and O’ = {1, 5, 9, 13, 17, ...} be its subset. Definethe bijections, f and g as:f : O 6 O’, f(d) = 2d - 1, d 0 O.g : ø 6 O, g(n) = 2n + 1, n 0 ø.Using only the concept of function composition, can there be a bijective map from øto O’? If so, compute it. If not, explain in details why not...................................................................................................................................... [2+8]b) A Sesotho word cannot begin with of the following letters of alphabet: D, G, V, W,X, Y and Z.We define the relation: A Sesotho word x is related to another Sesotho word y if xbegins with the same letter as y.Determine whether or not this is an equivalence relation.If it is an equivalence relation then1. Compute C(sekatana)2. How many equivalence classes are there in all, and why?3. What is the partition of the English words under this relation?If it is NOT an equivalence relation then explain in details why it is not
The Study of Computers In every node of a left-child, right-sibling tree T with n nodes, there is a score that is a positive real number greater than 0. Find a subset S of all the nodes that maximises the total of their scores while guaranteeing that neither the parent node nor the child node may be in S. 1. Create a function in C++ that can solve the maximum sum for nodes using the conditions that are specified. 2. Determine the running time
5. Let R = {1, 3, π, 4, 1, 9, 10}, S = {{1}, 3, 9, 10}, T = {1, 3, π}, and U = {{1, 3, π}, 1}. Which of thefollowing are true? For those that are not, why not? (d) 1 ⊆ U(e) {1} ⊆ T(f) {1} ⊆ S(g) {1} ∈ S
If sets A={10,20,30,40} B ={30,40,50,60} C= {50,60,70} U = {10,20,30,40,50,60,70}What is the cardinality of A? DO NOT FORGET TO ENCLOSE YOUR ANSWERS IN A BRACKET { } IF IT IS A SET.
On S = f2; 4; 6; 10; 12; 20; 30; 60g we work with the divisibility relation R:xRy , x divides y:(i) Draw the Hasse diagram of R.(ii) Find all R-minimal elements.(iii) Find all R-maximal elements.(iv) Find all non-empty subsets U S, so that 6 is an R-lowerbound of U.(v) Let A = f6; 10; 12g. If A admits an R-supremum, nd it. If A admits an R-in mum, nd it.(vi) Is R a lattice?
Could you assist me with this issue? I'm finding it challenging to grasp the solution. Would you mind providing a step-by-step walkthrough along with a comprehensive explanation? question that I need help with: Show that P is closed under union, concatenation, and complement.
Given: P={a, b, c, d, e, f, g, h, i} and Q={a, e, o, i, u, } List the elements of the sets: A. PnQ 2.PUQ
1. Consider the binary relation ⊆: ”is subset of” in the domain of sets. Prove that ⊆ is a partial order.2. Given the set V2 = {a, b, c}, prove that (P(V2), ⊆) is a poset.3. Create a Hasse Diagram to visualize (P(V2), ⊆), and identify maximal and minimal elements.
(a) Give the definition of an isomorphism from a graph G to a graph H. (b) Consider the graphs G and H below. Are G and H isomorphic?• If yes, give an isomorphism from G to H. You don’t need to prove that it isan isomorphism.• If no, explain why. If you claim that a graph does not have a certain feature,you must demonstrate that concretely. (c) Consider the degree sequence (1, 2, 4, 4, 5). For each of the following, ifthe answer is yes, draw an example. If the answer is no, explain why. (i) Does there exist a graph with this degree sequence?(ii) Does there exist a simple graph with this degree sequence?
Problem 5: Disjoint sets. Consider a list of cities c1, c2, . . . , cn. Assume we have a relationR such that, for any i, j, R(ci, cj ) is 1 if cities ci and cj are in the same province, and 0otherwise.(i) Using a disjoint set data structure, write an algorithm that puts each city in a setsuch that ci and cj are in the same set if and only if they are in the same province.Justify corectness of your algorithm.(ii) If a disjoint set data structure is implemented by trees and in union the name of thenew set is always the name of the larger set, what is the worst-case running time ofyour algorithm.