Answered: A universal set U with 117 elements has…

A universal set U with 117 elements has been partitioned into three subsets, A, B, and C. If B is 2 times the size of A and C is 5 times the size of B, then how many elements are in B?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 43SE: A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non-...

See similar textbooks

Related questions

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

Q: Assume that the camper has 6 jackets, 3 sleeping bags, and 13 different packages of food. An outfit…

A: It is given that the number of jackets is 6, the number of sleeping bags is 3 and the number of…

Q: My dad has 19 oak and maple boards from the lumber yard. Each oak board is 6 centimeters thick. Each…

A: Let, x = no. of oak boards y = no. of maple boards Then, Total number of boards = x+y.…

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

A: We first find the number of sets of 5 that includes no green marbles. There are total (5+2+1+2+4)=14…

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

Q: Assume that the camper has 5 jackets, 5 sleeping bags, and 12 different packages of food. An outfit…

A: Given that the camper has 5 jackets, 5 sleeping bags and 12 different packages of food. An outfit…

Q: A password for a computer consists of four digits. How many different passwords are possible?

A: Given that a password for a computer consists of four digits. We know that the possible digits are;…

Q: Answer the following question. Sammy the Seahawk filled 49 packages with big and/or small pens. When…

A: Given the total number of packages =49 Each package is filled with either big pens or small pens.…

Q: Assume that there are 10 girls and 8 boys in the neighborhood club, and a team of 8 is to be…

Q: A certain school has 3 desktop computers for every 4 laptop computers, and it has 70 computers…

A: Given : A certain school has 3 desktop computers for every 4 laptop computers and it has a total…

Q: Radio stations that are on the eastside of a nation have call letters consisting of a W followed by…

A: Here we have to number of five letter call letters starting from W

Q: Given 2n letters, two of each of n types, how many arrangements are there with no pair of…

A: Given:Number of letters is 2n, two of each of the n types.To Find:The number of arrangements is…

Q: A clerk at a bookstore is restocking a shelf of the best-selling novels. He has two copies each of…

A: Part 1: The total number permutations in which 6 books can be arranged is 6! Since there are three…

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

Q: Assume that the camper has 4 jackets, 4 sleeping bags, and 11 different packages of food. An outfit…

A: Given information- We have given that the camper has 4 jackets, 4 sleeping bags, and 11 different…

Q: Assume that the camper has 5 jackets, 3 sleeping bags, and 14 different packages of food. An outfit…

A: Combination is the way of selecting a units from a set without considering position of order. The…

Q: Find the largest eight-digit number made up of the digits 1, 1, 2, 2, 3, 3, 4, and 4 such that the…

A: Given digits are 1,2, 3, 4.Given conditions is 1s are seperated by one digit,2s are seperated by two…

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

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

Q: Blood donors have been suspected to have an unusual distribution of blood groups. Expected…

A: (i) Null Hypothesis: There is no sufficient evidence that the distribution of the blood group…

Q: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C. If B is 4…

A: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C.

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Question

A universal set U with 117 elements has been partitioned into three subsets, A, B, and C. If B is 2 times the size of A and C is 5 times the size of B, then how many elements are in B?

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 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Relations$

Learn more about

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

Similar questions

How many subsets does the set 1,3,5,...,99 have?
How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink. If there are four main courses, three desserts, and six drinks to pick from, in how many ways can a customer select a meal consisting of one choice from each category?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, and so on. There are 56 rows in all. What is the seating capacity of the stadium?
At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?
Alice and Bill have four grandchild, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?
A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?
There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?
A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non- organic cotton and colors white, black, gray, blue, and red. How many different T-shirts are there to choose from?
Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?