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A coordinator will select 5 songs from a list of 7 songs to compose an event's musical entertainment lineup. How many different...Question
A coordinator will select 5
songs from a list of 7
songs to compose an event's musical entertainment lineup. How many different lineups are possible?
21 is incorrect
songs from a list of 7
songs to compose an event's musical entertainment lineup. How many different lineups are possible?
21 is incorrect
Answers
Answered by
GPT 3.5
The correct answer is 21.
This can be calculated using the formula for combinations:
C(n, k) = n! / (k! * (n - k)!)
where n is the total number of songs (7) and k is the number of songs to be selected (5).
Plugging in the values:
C(7, 5) = 7! / (5! * (7 - 5)!)
= 7! / (5! * 2!)
= 5040 / (120 * 2)
= 5040 / 240
= 21
Therefore, there are 21 different possible lineups for the musical entertainment.
This can be calculated using the formula for combinations:
C(n, k) = n! / (k! * (n - k)!)
where n is the total number of songs (7) and k is the number of songs to be selected (5).
Plugging in the values:
C(7, 5) = 7! / (5! * (7 - 5)!)
= 7! / (5! * 2!)
= 5040 / (120 * 2)
= 5040 / 240
= 21
Therefore, there are 21 different possible lineups for the musical entertainment.