56 ways
Explanations:Since the exercise involves an arrangement, it is a permutation
The permutation of r objects in n objects is given by the formula
[tex]\text{nPr = }\frac{n!}{(n-r)!r!}[/tex]The musician is arranging 5 selections in 8
Therefore:
[tex]\begin{gathered} 8P5\text{ = }\frac{8!}{(8-5)!5!} \\ 8P5\text{ = }\frac{8!}{3!5!} \\ 8P5\text{ = }\frac{8\times7\times6\times5!}{3\times2\times1\times5!} \\ 8P5\text{ = }\frac{8\times7\times6}{3\times2} \\ 8P5\text{ = 8 }\times\text{ 7} \\ 8P5\text{ = }56 \end{gathered}[/tex]He can arrange his program in 56 ways
