In the solution of each of the problems below, quote an appropriate counting ruleand give full details of your modelling and calculations. The analysis should involveintroducing appropriate notations and explaining full details of the methodology.Illustrate your solution method using a diagram. Marks are given for the detailsof the analysis, not just for the final expressions and/or numerical answer.Larry has 5 different books on his shelf which he wants to distribute to his 3students so that each of the students may receive at least 1 book. How manydifferent alternatives for the distribution of Larry's books are possible?

Answered: Image /qna-images/answer/4981372a-da72-42ac-9f77-cb7dffba9ba2.jpg

Larry has 5 different books on his shelf which he wants to distribute to his 3 students so that each of the students may receive at least 1 book. How many different alternatives for the distribution of Larry's books are possible?

Larry has 5 different books on his shelf which he wants to distribute to his 3 students so that each of the students may receive at least 1 book. How many different alternatives for the distribution of Larry's books are possible?

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: David has bought 4 tickets for a concert. 1 is for himself. The other 3 he will give to 3 friends to…

A: If, there are n items and need to select r items among them, we can select them in Crn=n!r!×(n-r)!…

Q: A lady has 4 dresses and she want to leave 2 of them behind and bring the rest with her on the trip.…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: You have 6 math books and 6 history books to put on a shelf with five slots. In how many ways can…

A: If a particular event can be done in n different ways and an other event can be done in m different…

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: Amy is playing an arcade bowling game. When she rolls a ball at the target, the ball will fall…

Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 5. The number of types…

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: Kirk's Convenience store sells 15 different brands of chocolate bars. Of these, 6 brands contain…

Q: The Hoffmans are planning their next family night. They always have dinner out somewhere and then do…

A: The objective of this question is to find out the total number of different family night…

Q: The math club has seven members and will choose a team of three to send to a competition. The…

A: Given that the math club has 7 members and will choose a team of 3 to send to a competition. The…

Q: The Wycoffs are planning their next family night. They always have dinner out somewhere and then do…

A: The answer is attached below,

Q: Alan was given a total of 208 game cards. He wanted more cards so he bought the same number of cards…

A: To determine the number of cards that Alan has bought in the five days, we have to determine the…

Q: Cameron has five different pairs of shoes that match with six different pairs of socks. How many…

A: There are five different pairs of shoes that match with six different pairs of socks for Cameron.

Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males. The team must…

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: An Amazon merchant is selling baseball hats that come in 4 different colors: black, white, blue, and…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

Q: Aiko loves to have friends over for "Sushi night" where she rolls her own sushi based on her guests…

A: Given,Total no.of ingredients=19

Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…

Q: You have 10 concert tickets to distribute among 15 friends. Of the 10 tickets, six have assigned…

Q: There is a class of 20 students, S1, S2, S3, . . . , S20. We need to form a study group of at least…

A: Total students = 20 {S1,S2,S3,....S20} We need to form a study group of at least 2 At least one of…

Q: A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of…

A: Given information: The number of layers is 2. The number of kinds of cake is 3. The number of types…

Q: You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side…

Question

In the solution of each of the problems below, quote an appropriate counting rule
and give full details of your modelling and calculations. The analysis should involve
introducing appropriate notations and explaining full details of the methodology.
Illustrate your solution method using a diagram. Marks are given for the details
of the analysis, not just for the final expressions and/or numerical answer.
Larry has 5 different books on his shelf which he wants to distribute to his 3
students so that each of the students may receive at least 1 book. How many
different alternatives for the distribution of Larry's books are possible?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Step-1

VIEW

Step 2: Step-2

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

IS NOT THE ANSWER 21 ??

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Paul plans to assemble his own personal computer by himself. He tried to look for all possible stores and was able to find 2 stores for the chip, four for the hard drive, three for the memory, and all other accessory bundle from five different stores. How many different ways can Paul order the parts he needs for his PC?
Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees are possible if 2 men refuse to server together and 2 women will only serve together if they are together.
A university student is selecting courses for his next semester. He can choose from 6 science courses and 10 humanities courses. In how many ways can he choose 9 courses if fewer than 3 must be science courses?
Suppose you want to select two types of snacks and one drink in a coffee shop. There are 5 choices of snacks and 10 types of drinks to choose from. If you don't want to pick the same snack twice, how many different combinations of 2 snacks and 1 drink could you have? Note, we consider the order of choosing snacks does not matter.
A bag contains 50 red marbles, 20 white marbles, and 30 black marbles. If you select a handful of 10 marbles from the bag (all at once), how many would you expect to be red?