Question

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

Answer 1

`3,991,680`

Step-by-step explanation:

Here, we want to get a number of possible lineups

We can use the permutation formula here:

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