You have 3 Math books, 5 History books, and 4 Science books. If the books are placed on a book shelf, what is the probability that each category is kept together?

Round your answer to 6 decimal places as needed.

am i supposed to be multiplying

Guest Jun 28, 2017

#1**+1 **

The total possible arrangements = 12!

Tne math books can be arranged in 3! ways

Tne history books can be arranged in 5! ways

Tne science books can be arranged in 4! ways

And these groups can be arranged in 3! ways

So......the probability that each category can be kept together is

[ 3! * 5! * 4! * 3! ] / 12! ≈ 0.000216

CPhill
Jun 28, 2017