Question

A coordinator will select 6

songs from a list of 9
songs to compose an event's musical entertainment lineup. How many different lineups are possible?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The number of ways to choose 6 songs from a list of 9 songs is given by the combination formula:

C(n, k) = n! / (k!(n-k)!)

where n is the total number of songs (9) and k is the number of songs to be chosen (6).

C(9, 6) = 9! / (6!(9-6)!)
C(9, 6) = 84

Therefore, there are 84 different musical entertainment lineups possible for the event.