Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. n(A∩B)=6​, n(A∩B∩C)=4​, n(B∩C)=9​, n(B−A)=10​, n(B∪C)=25​, n(A∩C)=7​, n(A∪B∪C)=28.   n(A)= n(B)= n(C)=

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A…

Q: If (x + iy)i = a + ib , where x, y, a, b e R , evaluate y a elect one: O a. - a? + 2b² O b. -2a? –…

A: given x+iy13=a+ib

Q: 6. Given A(-5, 1), B(-3, -7), and C(5, 2), find the measure of ZA.

A:

Q: If n(A) = 45, n(B) = 16, and n(A n B) = 2, find n(A U B).

A: Given :nA=45nB=16nA∩B=2

Q: Find P(A∪B)

A:

Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

A: We know from set theory nA∪B=nA+nB-nA∩B

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

A:

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A:

Q: Find, if possible, (a) AB and (b) BA.

A: We know the order of a matrix is defined as  ---->  m x n where, m = number of rows…

Q: If n(C) = 34, n(C∩D) = 17, and n(C∪D) = 93, find n(D). n(D) =

A: The set A∪B contains all the elements that are present either in set A or in set B. It is known that…

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: If n(A) = 64, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Given, n(A) = 64, n(B) = 16, and n(A ∩ B) = 4   The objective is to find n(A ∪ B).

Q: If  n(A) = 109, n(A ∪ B) = 160, and n(A ∩ B) = 42, find n(B).

A:

Q: Given that: 4x2 +3y = 2z . Which of the following are true? a. 3y=2z+4x2 b. 2z=4x2-3y c.…

A: Given that: To determine the true statement.

Q: (B) = 10 and n(A N B) = 4, what is n(A u

A: n(A U B)=12

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

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

A: We will solve the set question.

Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      => n(B) = n(A U B) + n(A ∩ B) - n(A)

Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: Let A = {small, medium, large}, B = {blue, orange}, and C = {triangle, square}. List the elements of…

A: The objective of the question is to find the Cartesian product of sets A and B. The Cartesian…

Q: Assuming A∩B∩C≠∅, which statement below is false? Group of answer choices A△B⊆(B−A)−C A△C⊇(A−C)−B…

A:

Q: If  n(A) = 69, n(B) = 23, and n(A ∩ B) = 3, find n(A ∪ B).

A:

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.