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How many ways can 30 students be arranged in a 4- student line?

Answer 1

#657,720# ways

I have assumed that what is meant is: "How may ways can a group of 4 students be extracted from a group of 30 students, when the order of extraction is significant?"

In this case: #color(white)("XXX")#There are #30# candidates for the first selection #color(white)("XXX")#For each of the first selections there are #29# candidates for the second selection #color(white)("XXX")#For each of these first and second selections there are #28# candidates for the third selection. #color(white)("XXX")#For each of these first, second, and third selections there are #27# candidates for the fourth selection.

Therefore there are #color(white)("XXX")30xx29xx28xx27=657,720# possible selections.

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Answer 2

Isaiah Anthony

To arrange 30 students in a 4-student line, you would use the permutation formula, which is n! / (n - r)!, where n is the total number of students (30) and r is the number of students in each line (4).

So, the number of ways to arrange the students would be 30! / (30 - 4)!

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.