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

Answer 1

[AI-generated answer — Bot 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.