. (a) Beethoven wrote 9 symphonies and Mozart wrote 27 piano concertos. If a university radio station announcer wishes to play first a Beethoven symphony and then a Mozart concerto, in how many ways...

. (a) Beethoven wrote 9 symphonies and Mozart wrote 27 piano concertos. If a university radio

station announcer wishes to play first a Beethoven symphony and then a Mozart concerto,

in how many ways can this be done?

(b) The station manager decides that on each successive night (7 days per week), a Beethoven

symphony will be played, followed by a Mozart piano concerto, followed by a Schubert

string quartet (of which there are 15). For roughly how many years could this policy be

continued before exactly the same program would have to be repeated?