Answer:
Explanation:
AI-generated answer
To find the number of ways 13 students can line up for lunch, we can use the concept of permutations.
In this case, since the order of the students matters, we can use the formula for permutations. The formula is:
P(n, r) = n! / (n - r)!
where n is the total number of students and r is the number of students we want to arrange.
Using this formula, we have:
P(13, 13) = 13! / (13 - 13)!
= 13! / 0!
= 13!
The exclamation mark (!) denotes the factorial of a number, which means multiplying all the positive integers from 1 to that number.
Calculating 13!, we have:
13! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 6,227,020,800
Therefore, there are 6,227,020,800 ways the 13 students can line up for lunch.