Mrs. Ylvisaker had 33 students in her honors geometry class, she needs three students to go to the main office and pick up a package. How many different ways can she choose three students to go

Answer 1

There are 33 students in total and she needs to choose 3 students to go to the main office. This is a combination problem and can be solved using the combination formula:

C(n, k) = n! / (k! * (n-k)!)

Where n is the total number of students (33) and k is the number of students to choose (3).

So the number of ways she can choose 3 students out of 33 is:

C(33, 3) = 33! / (3! * 30!)
= (33 * 32 * 31) / (3 * 2 * 1)
= 5456

Therefore, Mrs. Ylvisaker can choose 3 students out of 33 in 5456 different ways.