Answer:
Number of ways the program for the segment be arranged = 726,485,760 ways
Step-by-step explanation:
Since the question asks how many ways the program be arranged, to me it implies that order matters. Then the number of ways is;
P(14,9) = 14!/(14 - 9)!
= 14!/5!
= (14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5!)/5!
5! will cancel out to give;
14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 = 726485760 ways
