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(a) You have 35 favorite books and want to donate 4 to your local library. How many ways can you do this?

(a) You have 35 favorite books and want to donate 4 to your local library. How many ways can you do this?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.3: Percents And Decimals
Problem 59E
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Q#1, Books, Books, Books (a) You have 35 favorite books and want to donate 4 to your local library. How many ways can you do this? (b) You have 31 books remaining, and you would like to take 10 of them and arrange them in a line on a bookshelf. How many ways can you do this? (c) You come across a stash of 25 copies of To Kill a Mockingbird. Since you already have a copy on your shelf, you decide to donate them to the local high schools. There are 3 high schools in your town. In how many ways can you distribute the books to the high schools? Note that it is possible that a high school gets no books. (d) You want to take the 21 books not on your shelf and give them to your 4 friends. In how many ways can you partition the books among the 4 friends where it may be that some friends get no books? Note that all 21 books are unique. (e) You have been named the Book Person of the Year in your town's reading club. You're invited to give a 15 minute speech at the annual reception. You want to spend the speech talking about three themes; (1) how you came to love books, (2) the camaraderie you feel in the club, and (3) your long- term goals for encouraging reading in the town. You would like to spend at least 2 minutes talking about each theme. How many ways can you segment your time so that you talk enough about each theme? Note that you should assume the number of minutes you spend talking about each theme is a natural number. One example of a valid breakdown is 3 minutes on theme 1, 5 minutes on them 2, and 7 minutes on theme 3. Describe how you arrived at your solution.
Transcribed Image Text:Q#1, Books, Books, Books (a) You have 35 favorite books and want to donate 4 to your local library. How many ways can you do this? (b) You have 31 books remaining, and you would like to take 10 of them and arrange them in a line on a bookshelf. How many ways can you do this? (c) You come across a stash of 25 copies of To Kill a Mockingbird. Since you already have a copy on your shelf, you decide to donate them to the local high schools. There are 3 high schools in your town. In how many ways can you distribute the books to the high schools? Note that it is possible that a high school gets no books. (d) You want to take the 21 books not on your shelf and give them to your 4 friends. In how many ways can you partition the books among the 4 friends where it may be that some friends get no books? Note that all 21 books are unique. (e) You have been named the Book Person of the Year in your town's reading club. You're invited to give a 15 minute speech at the annual reception. You want to spend the speech talking about three themes; (1) how you came to love books, (2) the camaraderie you feel in the club, and (3) your long- term goals for encouraging reading in the town. You would like to spend at least 2 minutes talking about each theme. How many ways can you segment your time so that you talk enough about each theme? Note that you should assume the number of minutes you spend talking about each theme is a natural number. One example of a valid breakdown is 3 minutes on theme 1, 5 minutes on them 2, and 7 minutes on theme 3. Describe how you arrived at your solution.
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