dave puts a collection of 15 books on the shelf in a random order. Among the books are 2 fiction and 13 non-fiction books. what is the probability that the two fiction books will be together on the left side of the shelf and the 13 non-fiction all together on the right side of the shelf?
Here is my best guess
total number of ways books can be arranged 15 !
two fictions together have two ways to be arranged while the remaining slots 13!
2 * 13! / 15!