Explanation:
it did not say, if the records can be repeated in the segment.
I will assume that they can't be repeated.
also, the question is distinguishing the different sequences even for the same records.
if that is all the case, then we have permutations without repetition.
P(13, 8) = 13! / 8! = 13×12×11×10×9 ways of arranging the program.
that are 51,891,840 ways.