Question

If 10 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 10 students?

Answer 1

The number of ways to line up 10 students is 3,628,800, which is the factorial of 10.

Step-by-step explanation:

If 10 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, the number of ways to line up the 10 students is found by calculating the number of permutations of 10 different items. This is given by the factorial of the number of items, 10!, which is calculated as 10×9×8×7×6×5×4×3×2×1. Thus, there are 3,628,800 different ways to arrange 10 students in a line.