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The different recital programs that are possible is 80,730 ways
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:
[tex]27C_5=\frac{27!}{(27-5)!5!}\\ 27C_5=80,730[/tex]
Hence the different recital programs that are possible is 80,730 ways
Learn more on combination here: https://brainly.com/question/11732255