Using the permutation formula, as the order is important, it is found that 6720 lineups are possible.
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 5 bands are selected from a set of 8, hence:
[tex]P_{8,3} = \frac{8!}{3!} = 6720[/tex]
6720 lineups are possible.
More can be learned about the permutation formula at https://brainly.com/question/25925367
