Question

A pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces. How many different recital programs are possible?

Answer 1

The different recital programs that are possible is 80,730 ways

Combination and permutation

Permutation has to do with arrangement while combination has to do with the selection.

According to the question, a pianist plans to play 5 pieces at a recital from her repertoire of 27 pieces, this shows that he can select the 5 pieces in any form.

The number of ways this can be done is given as:
$27C_5=\frac{27!}{(27-5)!5!}\\ 27C_5=80,730$

Hence the different recital programs that are possible is 80,730 ways

Learn more on combination here: brainly.com/question/11732255