In the orchestra

In the school orchestra four musicians play – one the violin, one the clarinet, one the cello, and one the trumpet. During a performance not always all four play at once. Sometimes only one instrument plays, sometimes two, sometimes three, and sometimes all four. For the opening of the school year they invented a performance in which first each played alone as a soloist, then all pairs, all triples, and finally all four together. All groupings played for exactly one minute. How long did their performance last?

Final Answer:

t =  15 min

Step-by-step explanation:

C2(4)=(24)=2!(42)!4!=2143=6 C3(4)=(34)=3!(43)!4!=14=4 C4(4)=(44)=4!(44)!4!=11=1  t=1 (4+(42)+(43)+(44))=1 (4+(42)+(43)+1)=15 min



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