### Home > A2C > Chapter 10 > Lesson 10.2.5 > Problem10-126

10-126.
1. Beethoven wrote nine symphonies and Mozart wrote 27 piano concertos. Homework Help ✎

1. If the local radio station KALG wants to play two pieces, a Beethoven symphony and then a Mozart concerto, in how many ways can this be done?

2. The station manager has decided that on each successive night (seven days a week), a Beethoven symphony will be played, followed by a Mozart concerto, followed by a Schubert string quartet (there are 15 of those). How long could this policy be continued before exactly the same program would have to be repeated?

$\text{\frac{9}{Beethoven}\cdot \frac{27}{Mozart}}$

= 243 ways

$\text{\frac{9}{Beethoven}\cdot \frac{27}{Mozart}\cdot \frac{15}{Schubert}=3645\,ways}$

$\text{\frac{3645\,ways}{1}\cdot \frac{1\,day}{1\,way}\cdot\frac{1\,year}{365\,days}}$