A friend is giving a dinner party. Her current wine supply includes 8 bottles of zinfandel, 10 of merlot, and 12 of cabernet (she drinks only red wine), all from different wineries.
a. If she wants to serve 3 bottles of zinfandel andsymphony and then a Mozart concerto, in how many ways can this be done?
b. The station manager decides that on each suc- cessive 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?