ambra,Ebon's guests will be staying at his five mansions on the island: AlBuckingham, Mysore, Topkapi, and Versailles, each of which has ten guest suites.You've been asked to make sure that all the guests from each country are stayingin the same mansion. His guests include 10 from the USA (US), 7 from China(CN), 6 from India (IN), 5 each from the United Kingdom (GB) and Russia (RU), 4from France (FR), 3 each from Brazil (BR), Ukraine (UA), Sri Lanka (LK), and SouthAfrica (ZA), and 1 from Canada (CA).a) In how many different ways can these fifty guests be distributed into fivemansions with an occupancy of ten each, keeping compatriots in the samemansion? (this question is really asking about the different ways to form groupsof 10 people out of these 50, given that the compatriots have to stay together)b) In how many different ways can these guests be distributed into Ebon's fiveGreek island mansions, keeping compatriots in the same mansion?Explain your answers.

1: Introduction: A generating function is a mathematical tool used to encode a sequence of numbers…

Answered: mansion. His guests include 10 from the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A bag of M&M’s contains 8 red M&M’s, 13 blue M&M’s, 2 orange M&M’s, 15 yellow M&M’s, 14 green M&M’s, and 6 brown M&M’s. A large bag of chocolates contains 38 Milk Chocolate (MC), 31 Mr. Goodbar (G), 33, Krackel (K), and 33 Special Dark (S). Next, we are going to randomly select one chocolate from the large bag, eat it (not replace it); then, we are going to select a second candy. What is the probability that the first chocolate is a Krackel and the second is a Special Dark?
suppose that we wish to seat 10 people, 5 men and 5 women, in a row of ten chairs. in how many ways can we seat the people if all men sit together and all women sit together
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On the hard copy of "Quiz for Section 8.2 you are provided with a map with the following numbers. Region 1 has 1000 Republicans and 1200 Democrats Region 2 has 3400 Republicans and 4900 Democrats. Region 3 has 4000 Republicans and 3900 Democrats. Region 4 has 1100 Republicans and 1000 Democrats. The First District consists of Regions 1 and 2: the Second District consists of Regions 3 and 4. The First District has a total of voters, and the Second District has a total of voters. The First District will choose a Democrats with votes for the Democrats while the Second District will choose a Republican with votes for the Republicans,
a club consists of 5 men and 4 women. in how many ways can this club elect a president, Vice President and secretary in that order if the president must be a man and the other two officers must be a woman?
An advisory committee is being formed for a new project at a company. The committee has 6 identical positions to be filled. The committee is to consist of 2 people chosen from the Research and Development Department, which has a total of 12 employees, and 4 people from the Marketing Department, which has a total of 20 employees. How many total possible advisory committees could be formed from these choices?
A research team of 7 members must be formed from a group of 10 teachers consisting of 3 senior faculty, 4 junior faculty and 3 rookie faculty members. a. In how many ways can the selection be done if the team must include at least 1 senior faculty member? b. In how many ways can the selection be done if the team must include 2 seniors and at least 1 rookie faculty member?
A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain donuts are identical, and the chocolate donuts are identical. How many visually distinct arrangements of the donuts are there?
How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1 republican and at least 1 democrat must be on the committee?
If 55 percent of the families in a certain city subscribe to the morning newspaper, 60 percent of the families sub- scribe to the afternoon newspaper, and 85 percent of the families subseribe to at least one ol the two newspapers, what percentage of the families subscribe to both newspa- pers?
5 members from the math department, 5 members from the biology department, 5 members from the English department, 5 members from the history department, and 5 members from the physics department have declared themselves candidates for three vacant faculty senate seats. If the three seats must be filled by three members from three different departments, in how many ways can the vacant seats be filled?
There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel? (2) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. How many ways are there for her to select the starting line-up? (3) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. However, there are only 3 of the 8 players who can play center. Otherwise, there are no restrictions. How many ways are there for her to select the starting line-up?

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