There are 4 books on fairy tales, 5 novels and 3 plays. In how many ways can they be arranged in the order, books on fairy tales, novels and then plays so that the books of same category are put together?
Explanation
Concept:
Fundamental Counting Principle Definition.
The Fundamental Counting Principle (also called the counting rule) is a way to figure out the number of outcomes in
a probability problem. Basically, you multiply the events together to get the total number of outcomes.
Calculations:
Given, There are 4 books on fairy tales, 5 novels and 3 plays.
Here, books are arranged in the order, books on fairy tales, novels and then plays
There are 4 books on fairy tales and they have to be put together. They can be arranged in 4! ways.
There are 5 novels. They can be arranged in 5! ways.
And there are 3 plays. They can be arranged in 3! ways.
So, by the counting principle all of them together can be arranged in 4!´5!´3! ways = 17280
