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]