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Stels [109]
2 years ago
15

A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces, and is carefully considering which song to play

first, second, etc. to create a good flow. How many different recital programs are possible
Mathematics
1 answer:
balu736 [363]2 years ago
4 0

There are 1,16,280 different recital programs possible.

Given: A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces and is carefully considering which song to play first, second, etc.

It means the repetition of pieces is not allowed.

When repetition is not allowed, then the number of ways to arrange n things where r things taken together is given by:-

^{n} P_{r} =\frac{n!}{(n-r)!}

Now, the number of different recital programs are:-

^{20} P_{4} =\frac{20!}{(20-4)!}=\frac{20*19*18*17*16!}{16!}=116280

Hence, there are 1,16,280 different recital programs possible.

Learn more about probability here brainly.com/question/251701

#SPJ4

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