Question

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?

Answer 1

There are 3628800 possible number of arrangements

Step-by-step 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

`n! = n * (n-1) * (n-2) * ..... * 3 * 2 * 1`

In this case, n = 10

`10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1`

`10! = 3628800`

Hence, there are 3628800 possible number of arrangements