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# Probability and Statistics for Engineering and the Sciences (9th Edition) Edit editionThis problem has been solved:Solutions for Chapter 2Problem 31E: The composer Beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). a. How many ways are there to play first a Beethoven symphony and then a Beethoven piano concerto? b. The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven symphony will be played followed by a Beethoven piano concerto followed by a Beethoven piano sonata. For how many years could this policy be continued before exactly the same program would have to be repeated? …

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Problem 31E
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The composer Beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano).

a. How many ways are there to play first a Beethoven symphony and then a Beethoven piano concerto?

b. The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven symphony will be played followed by a Beethoven piano concerto followed by a Beethoven piano sonata. For how many years could this policy be continued before exactly the same program would have to be repeated?

Step-by-step solution
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Step 1 of 4

From the given information,

The composer wrote 9 symphonies, 5 piano concertos and 32 piano sonatas.

(a)

There are 9 possibilities to start with symphonies and after the symphony there are 5 choices of choosing piano concertos.

Therefore, total number of choices to play symphony followed by a piano concerto is calculated as follows:

Therefore, there are 45 ways to play first symphony and then a piano concerto.

Chapter 2, Problem 31E is solved.
Step 2 of 4
Step 3 of 4
Step 4 of 4

## Corresponding textbook

Probability and Statistics for Engineering and the Sciences | 9th Edition
ISBN-13:9781305251809ISBN:1305251806Authors:Jay L. Devore Rent | Buy
Alternate ISBN: 9781305465329, 9781305699687, 9781305779372, 9781337431163, 9781337762021
Alternate ISBN: 9781305465329, 9781305699687, 9781305779372, 9781337431163, 9781337762021
Probability and Statistics for Engineering and the Sciences (9th Edition) Edit editionSolutions for Chapter 2Problem 31E: The composer Beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). a. How many ways are there to play first a Beethoven symphony and then a Beethoven piano concerto? b. The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven symphony will be played followed by a Beethoven piano concerto followed by a Beethoven piano sonata. For how many years could this policy be continued before exactly the same program would have to be repeated?
Chapter 2, Problem 31E is solved.