A symphony orchestra has in its repertoire 30 Haydn symphonies, 15 modern works, and 9 Beethoven symphonies. Its program always consists of a Haydn symphony followed by a modern work, and then a Beethoven symphony.

• How many different programs can it play?
• How many different programs are there if the three pieces can be played in any order?
• How many different three-piece programs are there if more than one piece from the same category can be played and they can be played in any order?