A coordinator will select seven songs from a list of 12 songs to compose an events musical entertainment lineup how many different lineups are possible

A coordinator will select seven songs from a list of 12 songs to compose an events musical entertainment lineup how many different lineups are possible class=

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Answer:

[tex]3,991,680[/tex]

Explanation:

Here, we want to get a number of possible lineups

We can use the permutation formula here:

[tex]\begin{gathered} ^nP_r\text{ = }\frac{n!}{(n-r)!} \\ \\ ^{12}P_7\text{ = }\frac{12!}{(12-7)!}\text{ = 3,991,680} \end{gathered}[/tex]