The number of different ways that an after school club of 13 students line up is; 6,227,020,800 ways
Permutation factorial
We are told that they want to line up 13 students in an after school club.
Now, the number of ways this can be done is expressed as; 13!
What the symbol "!" means in Maths is factorial that is a product of all the positive integers less than or equal to the number in question.
Thus;
13! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 6,227,020,800 ways
Read more about permutation factorial at; https://brainly.com/question/12105526
