Problem 1. A student has to attend a total of 15 lectures a week (Monday through Friday), and she should attend at least 3 classes on Monday, at least 4 on Wednesday and at least 2 on Friday. (a) In how many ways can she do this? (we are just interested in the number of classes per day, not which ones) (b) In how many ways can she do this if there is at most one lecture on Tuesday she can take?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Problem 1. A student has to attend a total of 15 lectures a week (Monday
through Friday), and she should attend at least 3 classes on Monday, at least 4 on
Wednesday and at least 2 on Friday.
(a) In how many ways can she do this? (we are just interested in the number of
classes per day, not which ones)
(b) In how many ways can she do this if there is at most one lecture on Tuesday
she can take?
Transcribed Image Text:Problem 1. A student has to attend a total of 15 lectures a week (Monday through Friday), and she should attend at least 3 classes on Monday, at least 4 on Wednesday and at least 2 on Friday. (a) In how many ways can she do this? (we are just interested in the number of classes per day, not which ones) (b) In how many ways can she do this if there is at most one lecture on Tuesday she can take?
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