Answer:
Explanation:
The number of different collections of 10 books you can take from a set of 15 books can be calculated using the formula for combinations:
n choose k = n! / (k! * (n-k)!)
Where n is the total number of books (15), and k is the number of books you want to choose (10).
Plugging in the values, we get:
15 choose 10 = 15! / (10! * (15-10)!)
= 3003
Therefore, you can take 3003 different collections of 10 books from the set of 15 books.