posted by Fred
In how many ways can 4 girls and 3 boys be arranged in a row so that the girls are always together? Answer: 576
consider the girls as one person. Then there are 4 people to arrange.
They can be arranged in 4! ways.
Now, within the group of 4 girls, there are 4! ways to shuffle them.
So, the total is 4!4! = 576