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

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

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?

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