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
+128407
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
