Can someone tell me if my solution is correct? There is a different answer in the book.

Thanks!

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Beethoven wrote 9 symphonies, and Mozart 27 piano concerts.

A 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?

MY SOLUTION

B=9, M=27, Q=27

Using the Multiplication Priniciple

BxMxQ = 9x27x15 = 3645 3-day sequences,

i.e. 3645 sets consisting of 3 days each.

3645 sets x 3 days each set = 10935 days

10935 / 365 days in a year = 29.95 years or approximately 30 years of non-repeating 3 day sequences.