1) For each of the pairs of sets in 1-3 determine whether the first is a subset of the second, the secon the first, or neither is a subset of the other. 1. The set of people who were born in the U.S., the set of people who are U.S. citizens. 2. The set of students studying a programming language, the set of students 3. The set of animals living in the ocean, the set of fish. studying Java.

Q: You have 10 of each of the following type of objects: A, B, C, and D. The objects of each type are…

A: 1. There are total 40 different objects, 10 belonging to each of types A, B, C, and D- A1, A2, …,…

Q: D. Let U be the set of major league baseball players and let N = {x]x plays for the New York…

A: We have to answer questions based on simple set theory.

Q: 6. DeMorgan's Laws If A = the set of all alligators and C = the set of all crocodiles a. What kinds…

A: We have to use demorgan law

Q: We are making 8-letter words from the set of letters a, b, c, d, e, f ..., in such a way that we…

A: Here we will use permutation /arrangement and combination / selection  Number of way r object can be…

Q: 4. If is a sigma-field and Ae for all e[0,1] then 4, 8 1401] 5. For any set Ac R, A is a Borel set.…

A: Ans 5 True Yes, since the set of real numbers can be expressed as a countable union of closed sets.…

Q: Let U = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

Q: Cavity Candies mass produces an assortment of hard candies, consisting of three flavors: cinnamon,…

A: Solution:

Q: bag contains three red marbles, one green one, one lavender one, three yellows, and two orange…

A: given data, a beg contains3- red marbles 1- green 1- lovender3- yellows2- orange 10- total marbles

Q: 3. Consider the set of numbers S that are multiples of three and larger than 10. Write S in roster…

A: S is the set of numbers multiple of 3 and larger than 10 In roster notation S={ 12 ,15 ,18,21,24…

Q: 2. Determine whether the statement(s) below is/are true or false. Modify each false statement to…

A:

Q: Assume that there are 55 students: 28 who enjoy tennis, and 14 who enjoy neither tennis nor…

A:

Q: 5. If A is a set with 5 elements, how many elements are in P(A), the power set of A.

A: The given problem is to find that how many elements are there in power set of A, P(A) Given A is the…

Q: Let  U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16},   A = {7, 9, 11, 13, 15},   B = {8, 10, 12, 14,…

A: Given the universal set is U=7, 8, 9, 10, 11, 12, 13, 14, 15, 16. The sets A, B and C are as…

Q: Let the Universal Set, S, have 113 elements. A and B are subsets of S. Set A contains 77 elements…

A: From the provided information, n(U) = 113, n(A) = 77, n(B) = 17 And n (A Ո B) = 13

Q: 4 The collection of all rivers in India. 5. The collection of all active teachers in the school. 6.…

A: A set is a collection of well defined elements, where an element is an object/unit included in a…

Q: 5. Write the set {0, 3, 12, 27, 48, 75 ...} in set builder notation

A:

Q: 13. If A is a subset of 2 and = (2,0, A, Ac), then σ(8) - 14. If A and B are subsets of 2 and is a…

A: Please find the answer in next step

Q: come up with a (VERY) brief description of the set {2, 4, 6, 8} using set-builder notation.

A:

Q: Use set builder notation to give a description of each of these sets 1 (Ben, Aiden, James, Derrick)…

A:

Q: Sleepy Hollow Park Riverside Park Birch, b Aspen, a Hickory, h Oak, o Pine, p The table shows some…

A: Given data: Sleepy Hollow Park Riverside Park Birch, b Oak, o Aspen, a Elm, e Hickory, h…

Q: B.2 What is the output after executing the following Java statements ? (2 Marks) System.out.println…

A: Math.ceil is used to print or obtain the ceiling of the given number, i.e the nearest integer which…

Q: Combinatorial questions: A bit have 2 states: 0 and 1. If bit could have 4 states (0, 1, 2, 3), how…

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

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

A:

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

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

A: From the given information, The universal set U with 66 elements has been partitioned into three…

Q: are true regarding permutation and combination? See image below for the statements. 1 - Permutation…

A:

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

A:

Q: A bag contains two red marbles, three green ones, one lavender one, three yellows, and four orange…

A:

Q: Which of the following is NOT a subset of the set {p, o, 7}? ∅ {o, 7} {p, o, 7} 7

A:

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

A:

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: 3. Is the set of all brown dogs a subset of the set of all dogs? Why or why not? 4. Is the set of…

A: We need to find the solutions to the given 3 problems. Let's begin.