a. 2 ∈ {2}? b. How many elements are in the set {2, 2, 2, 2}? c. How many elements are in the set {0, {0}}? d. Is {0} ∈ {{0}, {1}}? e. Is 0 ∈ {{0}, {1}}?

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: For the three sets A, B, and C,  A-(BUC) will be equal to,

A:

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: Let the set B={−23,−16,−7,−2,20,36,48,72}. How many ways are there to choose a positive or an odd…

A:

Q: A.How many elements are in (C U R)? How many elements are in ( C U R) U A ? how many elements are…

A: A Venn diagram is a representation of sets and their intersection. The union of any two sets is a…

Q: Find the number of elements in the set {o E S4lo (3) = 3}.

A:

Q: a. Is 2 E {2}? b. How many elements are in the set {2, 2, 2, 2}? c. How many elements are in the set…

A:

Q: 1. Let S = (1,2,3, 4, 5, 6} (a) How many subsets are there total? (b) How many subsets have {2, 3,…

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

Q: If sets A and B are disjoint and |A|=7and |B|=8, what is |A∪B|+|A∩B|?

A: Here given that sets A and B are disjoint and A=7 and B=8 .We have to find A∪B+A∩B.

Q: If  n(A) = 11, n(A ∪ B) = 13, and n(B) = 5,  then what is  n(A ∩ B)?

A:

Q: Select all of the answers below that are equal to B = {John, Paul, George, Ringo, Pete, Stuart}…

A: The given is the set B = {John, Paul, George, Ringo, Pete, Stuart}

Q: If a, b, c, d, e are in A.P., then the value of    a–4b+6c–4d+e  is

A:

Q: For how many ne {1,2, ..., 570} is n a multiple of one or more of 8, 9, or 5? 215

A:

Q: If there are 9 people and only 4 chairs are available , which of the following is the correct…

A:

Q: Find the number of elements of the set {n/n € Z,1 <n < 1000, 2 {n and 3 {n and 5 fn and 7 {n}.

A: By using set theoretic rules you can solve the given problem as follows :

Q: Answers must be in 4 decimals If S = {0,1,2,3,4,5,6,7,8,9} and A = {0,2,4,6,8}, B = {1,3,5,7,9}, C =…

A:

Q: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information on the…

A: Given: n(A∩B)=5​,    n(A∩B∩C)=3​,    n(B∩C)=9​,    n(B−A)=8​,    n(B∪C)=19​,    n(A∩C)=6​,…

Q: Find the number of subsets that can be formed from a set containing 7 elements. A. 64   B. 49   C.…

A: Given,   There are 7 elements.   The number of subsets that can be formed from a set containing 7…

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: If n(A) = 41, n(B) = 15, and n(A ∩ B) = 2, find n(A ∪ B).

A: We will use the following n(A U B) = n(A) + n(B) - n(A ∩ B)

Q: If n(A) = 44, n(B) = 23, and n(A ∩ B) = 8, find n(A ∪ B).

A: Explanation of the solution is given below...

Q: For how many n Ee {1,2, ..., 550} is n a multiple of one or more of 9, 4, or 7?

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: n(A) = 64, n(B) = 23, and n(A ∩ B) = 5, find n(A ∪ B

A: We will solve the set question.

Q: Given the set A = {a, b, c, d, e, f, g, h}, how many distinct sequences of 4 letters can be made if…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: Let S = {1,2,3, 4, 5, 6, 7, 8, 9, 10, 11, 12} a. How many subsets are there total? %3D b. How many…

A:

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: 2. Which of the following sets does not contain any inrational numbers? a. (-5.12, 1, 30) c.(, VT00,…

A: The sets are, -5.12, π, 30 92, 100, 5.123 80, 100, 6.56 5.123....,12, -65

Q: Given the set S = {a, b, c, d}, answer the following. (a) How many one-element subsets does S have?…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If n(A) = 45, n(B) = 18, and n(A ∩ B) = 7, find n(A ∪ B).

A: Given that  n(A) = 45, n(B) = 18, and n(A ∩ B) = 7. We find n(A ∪ B).

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: Which of the following elements would NOT be an element of {4, 8, 12, . . . } 28? 30? 32? or…

A:

Q: If n(A) = 102, n(A U B) = 159, and n(A n B) = 45, find n(B).

A: Hi there! Since there are two different questions we will solve one question for you. As the first…

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: Let B = {dog, house, cheese, book, car, phone, egg, square}. How many subsets does B have? How many…

A:

Q: 1. Let S = {1,2,3,4,5,6} (a) How many subsets are there total? (b) How many subsets have {2,3,5} as…

A: Given set,

Q: Given sets P = {-5, 3, 1) and Q = {-4, -2, 1, 2, %3D 3}. What is Pn Q?

A:

Q: If In a = 2, In b = 3, and In c 5, evaluate the following: a4 (a) In (b) In Va'b'c :

A: Given that  lna=2,lnb=3 and lnc=5 To find the following logarithmic functions

Q: Evaluate C,p (1-p)"-* for n= 6, p-0.2, x = 3.

A: Round to four decimals

Q: n(A) = 47, n(B) = 15, and n(A ∩ B) = 8, find n(A ∪ B). n(A ∪ B)=

A: Given: n(A)=47 n(B) = 15 n(A ∩ B) = 8

Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: so which one is it 1, 2, 3, or 4?

A:

Q: b. She gets one of each color other than blue, given that she gets at least one red one.

A: Here use conditional probability and hypergeometric distribution

Q: Given and , what is ? R 12 5 K 5 12 12 5

A: The given triangles ∆HJK and ∆RST are similar triangles.   ∆HJK~∆RST From Side-angle-Side (SAS)…

Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10

Q: −1,0,1,2} and B={a,b,c} How many elements are in 2b? How many elements are in A×B? Is (a,0) ∈ A×B?

A: Please refer to the image below

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.