5. We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find the number of bags of fruit that can be made out of apples, bananas, oranges, and pears, where, in each bag, the mmber of apples is even, the number of bananas is a multiple of 5, the number of oranges is at most 4, and the number of pears is 0 or 1. What if the 30 were replaced by n? Is there a formula for the number of bags with n pieces of fruit that obey these rules? HINT: Try approaching this problem with the tools from generating functions in Chapters 7 and 8.

5. We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find the number of bags of fruit that can be made out of apples, bananas, oranges, and pears, where, in each bag, the mmber of apples is even, the number of bananas is a multiple of 5, the number of oranges is at most 4, and the number of pears is 0 or 1. What if the 30 were replaced by n? Is there a formula for the number of bags with n pieces of fruit that obey these rules? HINT: Try approaching this problem with the tools from generating functions in Chapters 7 and 8.

Name: 5. We are designing gift bags of fruit, and a bag is supposed to cont
Uploaded: 2024-03-05T11:53:49.000Z
Channel: Bartleby
Description: 5. We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find the numberof bags of fruit that can be made out of apples, bananas, oranges, and pears, where, in each bag, themimber of apples is even, the number of

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: Two scientists want to know if a certain drug is effective against high blood pressure. The first…

A: Given data Two scientists want to know if a certain drug is effective against high blood pressure.…

Q: 32. Last month, Carmen had five Big Macs and three McChicken sandwiches for a total of 3,780…

Q: A pollster wants to minimize the effect the order of the questions has on a person's response to a…

A: The objective of this question is to find out the number of different ways the 5 questions on the…

Q: Peter has some candies. He places 2/3 of his candies equally into 12 small boxes, and the rest…

A: Let Peter have x candies in total.

Q: n one con

A: Given : The word LINEAR To find: Number of ways can one consonant and two vowels be chosen

Q: 18) Balanced diet for an adult should contain 21% of proteins, 25% of fats and 54% of carbohydrates.…

A: given 21% protein 25% fat 54% carbohydrates. total calories = 3200

Q: You were project manager of 5 identical projects and needs to designate workers for 5 identical…

A: Given problem:- You were project manager of 5 identical projects and needs to designate workers for…

Q: Find the number of bags of 103 pieces of vegetables that can be made out of carrots, tomatoes,…

A: Consider the given Number of carrots in the bag=even Number of tomatoes in the bag=multiple of 5…

Q: A professor has 180 students in her classes at the beginning of the semester, but 18 students…

A: At the beginning of the semester the professor has 180 students in her classes. But 18 students…

Q: You have 19 pieces of candy to distribute to 7 people. How many ways are there to distribute the…

A: Total number of pieces of candy is 19. Total number of person is 7.

Q: The smater location has employee(s) and the larger location has employee(s)

A: We have to find the number of larger location employees and smaller locations employees.

Q: 7. Armaan and Nazrat share a small cupcake making business. It takes Armaan 90 minutes to bake and…

A: Let us first denote the work of baking and decorating the batch by 1 whole. In 90 minutes, Armaan…

Q: ara's softball team can be divided into four groups: 1/2 of the players are strong hitters, 1/4 are…

Q: 4. 4x' +5y = 445 5x² - 3y = 473

Q: Correlation Matrix BW WL Pearson's r p-value Pearson's r p-value BW 0.649 <.001 WL

A: The objective is to validate if there is a linear relationship between BW and WL at the population…

Q: 3. A test worth 100 points and having 28 problems is broken down into 3-point problems and 4-point…

Q: Number 12

A: Let, amount of rose oil = x oil of fermented prunes = y alcohol = z Given, x+y+z = 22 and z = y+4…

Q: Three employees work at a shipping warehouse. Paco can fill an order two minutes faster than Tom but…

Q: In a medical supply room, there are 165 packages of type O positive blood and 210 packages of type…

A: Given Information - Number of type O positive blood packages = 165 Number of type AB negative blood…

Q: As a vacation souvenir, a family of 4 members wanted to be photographed together with their 2 pets…

A: A family of 4 members wanted to be photographed together with their 2 pets (a cat and a dog). Given,…

Q: Three friends, Bitri, Jay and Toni went drinking after work. Between them, they were able to finish…

Q: Arturo's farm has different animals: turkeys, cows, roosters, chickens and rabbits. Help him…

A: Arturo has a diversified farm with many animals, including turkeys, cows, roosters, hens, and…

Q: 6. Suppose you have 105 blocks. You want to stack up all the blocks so that each row has one less…

Q: In a very simple computer chip, 8 wires go from one transistor to a second transistor. For the…

Q: 7. Rob had a Big Burger and a can of cola for lunch. The number of calories in a can of cola was 3/8…

A: Given Number of calories in cola = 3/8 of calories in burger Total calories in lunch = 550

Q: a) Every Saturday, you spent 2 and 1/5-hours biking, 6 and 12 hours sleeping and 1 and 1/3 hours…

Q: . The average test score of 8 students in a class is 92. Two slacker kids join the class and the…

A: Solution of question as follows

Q: 5. The school pool needs to be refilled after it was emptied for winter cleaning. Water flowing…

Q: 1. There are 165 calories in three original Oreo cookies and 180 calories in two Triple Double…

A: As per our guidelines, we are supposed to solve only one question. Kindly post second question as…

Q: In a town, there are 4/5 as many adults as children, 3/4 as many boys as girls, and an equal number…

Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

5. We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find the number
of bags of fruit that can be made out of apples, bananas, oranges, and pears, where, in each bag, the
mimber of apples is even, the number of bananas is a multiple of 5, the number of oranges is at most
4, and the number of pears is 0 or 1. What if the 30 were replaced by n? Is there a formula for the
number of bags with n pieces of fruit that obey these rules?
HINT: Try approaching this problem with the tools from generating functions in Chapters 7 and 8.

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Permutation and Combination$

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

2. Your prank war has continued to accelerate. You decide to cover your friend's car with post- it notes. How many post-it notes would you have to buy if each post-it note package contains 500 sticky notes at 3 inches x 3 inches in size. Your friend drives a 2021 Jeep Wrangler. (Hint: start by finding the dimensions of the jeep).
15 (no. of cabinets), 10 (no. of tables), and 2200 (max. profit) are wrong.
38) SET UP ONLY: A business has 3 machines that manufacture containers. Together they can make 100 containers per day, whereas the two fastest machines can make 80 containers per day. The fastest machine makes 34 more containers per day than the slowest machine. How many containers can each machine make per day?
6) Ronnie has two printing machines that print at different rates. Machine A prints 45 shirts every 5 minutes. Machine B prints 35 shirts every 15 minutes If he leaves the two machines printing for 2 hours. How many shirts would be printed by both machines?
DO ALL PASRT PLEASE!!!!!!!!!!!
8. In a week the televesion networks CBS, ABC, and NBC together averaged a total of 29.1 million viewers. CBS had 1.7 million more viewers than ABC and NBC had 1.7 million fewer than ABC. How many viewers did each network have?
jjackson10jayden and adeotegbeye each had some money at first. jjackson10jayden started spending $1.20 daily. After 15 days, adeotegbeye started spending 4/3 of what jjackson10jayden spent daily. When adeotegbeye spent all of his money, he had spent $11.60 more than jjackson10jayden. a) How many days did adeotegbeye take to spend all of his money? b) How much did jjackson10jayden spend in total when adeotegbeye spent all of his money?
4. Ravi is putting up a fence in his backyard. He builds 3 units the first day, 7 units the second day, and 11 units the third day. If he continues this pattern, how many days will it take him to finish the 55 unit fence? Complete the table of values to solve the problem.