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RSB [31]
3 years ago
13

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?
Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

84 different lineups are possible

Step-by-step explanation:

The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

6 musics from a set of 9. So

C_{9,6} = \frac{9!}{6!(9-6)!} = 84

84 different lineups are possible

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