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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?
Bot GPT 3.5
answered
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.