Answer:
3 years, 11 months and 10 days
Step-by-step explanation:
Beethoven wrote
32 piano sonatas
9 symphonies
5 piano concertos
By the fundamental principle of counting there are
32 times 9 times 5 ways of combining these pieces in the required order.
32 times 9 times 5 = 1,440
As there are 365 days in a year, the policy decided by the manager could be continued during
1,440/365 = 3.9452 years.
But 3.9452 years = 3 years + 0.9452 years.
As 1 year equals 12 months
0.9452 years = 11.3424 months
11.3424 months = 11 months+0.3424 months
As 1 month = 30 days
0.3424 months = 10.27 days = 10 days rounded to the nearest integer
So, the manager could continue this policy for
3 years, 11 months and 10 days without repeating the program.
