Respuesta :
Using the permutation formula, it is found that there are 55,440 ways for the students to line up.
The order in which the students line up is important, hence the permutation formula is used to solve this question.
What is the permutation formula?
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 positions are set, and the remaining 11 students will be selected for 5 positions, hence:
[tex]P_{(11,5)} = \frac{11!}{6!} = 55440[/tex]
More can be learned about the permutation formula at https://brainly.com/question/25925367
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