Date: Jun 29, 2013 9:04 AM
Author: DonSolare
Subject: (puzzle) musical piece with two quartets

This mathematical puzzle is about my musical composition "Hudson Valley", for quartet

There are two versions of this piece: for string quartet (2 violins, viola, cello) and for woodwind quartet (flute, oboe, clarinet, bassoon).

But the interesting thing with this piece is that you can combine the parts of each version in such a way that a dozen (?) of mixed ensembles are possible.

Since

Part 1 can be played by violin 1 or by flute
Part 2 can be played by violin 2 or by oboe
Part 3 can be played by viola or by clarinet
Part 4 can be played by cello or by bassoon

therefore

the following combinations are possible (just a few examples):

flute + violin 2 + clarinet + cello
violin 1 + oboe + viola + bassoon
flute + oboe + viola + cello
violin 1 + violin 2 + clarinet + bassoon

Mathematical puzzle: calculate how many different versions of this piece are possible, on the base of its different line-ups.

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Juan MarĂ­a Solare
http://www.juanmariasolare.com