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Q2 Ebon's guests will be staying at his five mansions on the island: Alhambra, Buckingham, 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 staying in 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), 4 from France (FR), 3 each from Brazil (BR), Ukraine (UA), Sri Lanka (LK), and South Africa (ZA), and 1 from Canada (CA). a) In how many different ways can these fifty guests be distributed into five mansions with an occupancy of ten each, keeping compatriots in the same mansion? (this question is really asking about the different ways to form groups of 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 five Greek island mansions, keeping compatriots in the same mansion? Explain your answers.

Q2 Ebon's guests will be staying at his five mansions on the island: Alhambra, Buckingham, 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 staying in 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), 4 from France (FR), 3 each from Brazil (BR), Ukraine (UA), Sri Lanka (LK), and South Africa (ZA), and 1 from Canada (CA). a) In how many different ways can these fifty guests be distributed into five mansions with an occupancy of ten each, keeping compatriots in the same mansion? (this question is really asking about the different ways to form groups of 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 five Greek island mansions, keeping compatriots in the same mansion? Explain your answers.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2 Ebon's guests will be staying at his five mansions on the island: Alhambra, Buckingham, 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 staying in 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), 4 from France (FR), 3 each from Brazil (BR), Ukraine (UA), Sri Lanka (LK), and South Africa (ZA), and 1 from Canada (CA). a) In how many different ways can these fifty guests be distributed into five mansions with an occupancy of ten each, keeping compatriots in the same mansion? (this question is really asking about the different ways to form groups of 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 five Greek island mansions, keeping compatriots in the same mansion? Explain your answers.
Transcribed Image Text:Q2 Ebon's guests will be staying at his five mansions on the island: Alhambra, Buckingham, 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 staying in 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), 4 from France (FR), 3 each from Brazil (BR), Ukraine (UA), Sri Lanka (LK), and South Africa (ZA), and 1 from Canada (CA). a) In how many different ways can these fifty guests be distributed into five mansions with an occupancy of ten each, keeping compatriots in the same mansion? (this question is really asking about the different ways to form groups of 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 five Greek island mansions, keeping compatriots in the same mansion? Explain your answers.
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