Question

In how many ways can three students divide five different books, if each student must take at least one book?

Option 1: 5
Option 2: 10
Option 3: 15
Option 4: 20

Answer 1

There are 10 different ways for three students to divide five books.

Step-by-step explanation:

To calculate the number of ways three students can divide five different books, we can use combinations. Each student must take at least one book, so we have three books left to distribute among the students. We can use the combination formula:

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

Plugging in the values, we get C(3, 5) = 5! / (3! * (5-3)!) = 10. Therefore, there are 10 different ways for the three students to divide the five books.