You have 5 math books, 2 history books, and 6 science books. If the books are placed on a book shelf, what is the probability that each category is kept together?
Three are 6 ways of arranging the categories along the shelf: MHS, MSH, HMS, HSM, SMH, SHM, where M=math, H=history, S=science.
We can take each arrangement of categories and work out the probability of each arrangement.
Take MHS as an example. If M and H are organised to be kept together, the Read More: ...