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Problem 2. MAGA hats are on sale at 90% off, so Don has purchased 19 of them. Now he wants to gift all of them to his three buddies, Alan, Bob and Craig. Each of them should receive at least one hat. Also, Alan should receive at most 8 hats, Bob at most 5 hats, andd Craig at most 6 hats. In how many ways can Don distribute these hats to his buddies? You need to give a complete derivation for the final answer, using the method developed in class. (Brute force listing of all partitions will not be accepted.)

Problem 2. MAGA hats are on sale at 90% off, so Don has purchased 19 of them. Now he wants to gift all of them to his three buddies, Alan, Bob and Craig. Each of them should receive at least one hat. Also, Alan should receive at most 8 hats, Bob at most 5 hats, andd Craig at most 6 hats. In how many ways can Don distribute these hats to his buddies? You need to give a complete derivation for the final answer, using the method developed in class. (Brute force listing of all partitions will not be accepted.)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Problem 2. MAGA hats are on sale at 90% off, so Don has purchased 19 of them. Now he wants to gift all of them to his three buddies, Alan, Bob and Craig. Each of them should receive at least one hat. Also, Alan should receive at most 8 hats, Bob at most 5 hats, andd Craig at most 6 hats. In how many ways can Don distribute these hats to his buddies? You need to give a complete derivation for the final answer, using the method developed in class. (Brute force listing of all partitions will not be accepted.)
Transcribed Image Text:Problem 2. MAGA hats are on sale at 90% off, so Don has purchased 19 of them. Now he wants to gift all of them to his three buddies, Alan, Bob and Craig. Each of them should receive at least one hat. Also, Alan should receive at most 8 hats, Bob at most 5 hats, andd Craig at most 6 hats. In how many ways can Don distribute these hats to his buddies? You need to give a complete derivation for the final answer, using the method developed in class. (Brute force listing of all partitions will not be accepted.)
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