1. Ten school children are asked to stand in a line to wait for ice cream cones. A "line" in this case is a permutation because the order makes a difference. If
Raquel is first in line, that's different than being second or last. How many
different lines are possible for these 10 children?

There are 3628800 possible number of arrangements

Explanation:

Given

Number of children = 10

Required

Possible number of arrangements

From the question, we understand that the order of arrangement matters;

So; to solve this, we make use of the following formula

In this case, n = 10

Hence, there are 3628800 possible number of arrangements