Answered: Find, if possible, the number of…

Find, if possible, the number of elements in sets A, B, and C using the given information n(A∩B∩C)=6, n(B∩C)=8, n(B−A)=5, n(B∪C)=26, n(A∩C)=12, n(A∪B∪C)=30.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

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: If n(A) = 59, n(B) = 21, and n(A ∩ B) = 4, find n(A ∪ B).

Q: If n(A) = 2, n(B) = 5, and n(A ∪ B) = 7, find n(A ∩ B).

Q: Someone is planning a dinner party. They want to pick one bottle of wine to go with each of the four…

A: The number of courses is 4 The number of wine bottles is 8

Q: A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying…

Q: ifa+b+c=6, a2+b2+c2=14, and a3+b3+c3=36 then abc is

A: Solution:

Q: If n(A) = 45, n(B) = 15, and n(A ∩ B) = 9, find n(A ∪ B).

Q: 3 Estimate e2* sin(x) dx 1 using the Trapezoidal Rule with n = 1,2,4 and 8 segments 2) using Romberg…

A: Part (1): (a)The trapezoidal rule stats that:

Q: At the restaurant i 23 Σ π, they have 19 soup, 12 appetizer, 9 salad, 5 entree, and 18 dessert…

A: Total number of soups in the restaurant = 19Total number of appetizers in the restaurant = 12Total…

Q: At the restaurant i 23 Σ π, they have 21 appetizer, 25 soup, 12 entree, and 6 dessert options. How…

A: In the restaurant, there are the following options:Appetizer: Soup: Entree: Dessert:

Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

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

A: Refer to the question. Use the venn diagram method to solve this problem.Now here n(A intersect B)…

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: A group of 100 patients has been selected for a clinical trial of the efficacy of two drugs, X and…

Q: If n(A) = 40, n(B) = 22, and n(A ∩ B) = 4, find n(A ∪ B).

A: topic - sets

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) = 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: n be created?

Q: Solve the following assignment problem by using Hungarian method:

A: Check to see if the number of rows and columns are equal; if they are, the assignment problem is…

Q: If n(A) = 46, n(B) = 19, and n(A ∩ B) = 5, find n(A ∪ B).

A: Using , n(A u B) = n(A) + n(B) - n(A intersection B),

Q: If n(A) = 66, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Givenn(A)=66n(B)=16n(A∩B)=4

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: At the restaurant i 23 Σ π, they have 24 soup, 23 appetizers, 6 salad, 7 entree, and 16 dessert…

A: GivenNumber of soups = 24Number of appetizers = 23Number of salads = 6Number of entree = 7Number of…

Q: Internet Audience At the end of a certain year, the four companies with the largest number of home…

A: Given : x = Microsoft audience (millions) y= Time Warner audience z= Yahoo audience u = Google…

Q: At the restaurant i 23 Σ π, they have 22 soup, 6 appetizer, 16 salad, 7 entree, and 18 dessert…

A: Given: There are 22 soup, 6 appetizer, 16 salad, 7 entree and 18 dessert options at the restaurant.

Q: A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying…

A: Given:x1 = number of tank cars with a capacity of 6000 gallonsx2 = number of tank cars with a…

Q: At the restaurant i 23 Σ π, they have 6 appetizer, 5 soup, 15 entree, and 10 dessert options. How…

A: The restaurant have have 6 appetizer, 5 soup, 15 entree, and 10 dessert options. The unique…

Q: A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying…

A: A chemical manufacturer wants to lease a fleet of 24 railroad tank cars. x1+x2+x3=24 Let x1 be the…

Concept explainers

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.

Question

Find, if possible, the number of elements in sets A, B, and C using the given information

n(A∩B∩C)=6,

n(B∩C)=8,
n(B−A)=5,
n(B∪C)=26,
n(A∩C)=12,
n(A∪B∪C)=30.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 10 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

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

Similar questions

At the restaurant i 23 Σ π, they have 22 appetizer, 25 soup, 17 entree, and 14 dessert options. How many unique 4-course meals (consisting of one appetizer, one soup, one entree, and one dessert) can be created?
To enlarge the kit, Felix suggests including two each of two-colored cubes (using two of thecolors red, white, and blue) with three faces one color and three another. How manyadditional cubes will be required?
If P (A) = 0.5, P (B) = 0.4 and P (A∪B) = 0.8 then P (A∩B) = Select one: a. 0.9 b. 0.2 c. 0.8 d. 0.1
If n(A) = 46, n(B) = 21, and n(A ∩ B) = 6, find n(A ∪ B).
A farmer is raising chickens and cows. There are 42 total chickens and cows on his farm, in which there are a total of 140 legs. Assuming that all the chickens have 2 legs and all the cows have 4 legs, how many cows are on the farm?
If n(A) = 40, n(B) = 24, and n(A ∩ B) = 1, find n(A ∪ B).
If n(A) = 44, n(B) = 21, and n(A ∩ B) = 2, find n(A ∪ B).
At the restaurant i 23 Σ π, they have 11 appetizer, 6 soup, 6 entree, and 24 dessert options. How many unique 4-course meals (consisting of one appetizer, one soup, one entree, and one dessert) can be created? Your Answer:
a.) Make a list of the amounts of money one can have that cannot be reduced to a smaller number of coins. (Hint: there are seven possible amounts.) One of the amounts is (d+e). b.) Make an addition table for Glosian money. It should be a seven by seven table, with a row and column for each of the amounts you found in the previous problem. For example, your table shouldshow that (d+e)+d=f c.) One of the seven amounts you found in the previous problem can be considered to be the zero of Glosian money, since adding it to a collection of coins does not change the collection’s value (after trading to get the smallest possible number of coins, of course.) Which amount is the zero forGlosian money? d.) The opposite of an amount is the amount you add to it to get the zero. Find the opposite of each of the seven amounts.
If n(A) = 44, n(B) = 17, and n(A ∩ B) = 5, find n(A ∪ B).
A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased? Let x, be the number of cars with a 7,000 gallon capacity, x₂ be the number of cars with a 14,000 gallon capacity, and x3 be the number of cars with a 28,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. O A. The unique solution is x₁ = X₂ , and x3 = (Simplify your answers.) O B. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = (Simplify your answers. Type integers or simplified fractions.) O C. There is no solution. t+( x₂ = t+ and x3 = t for sts
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)=