Question 763194: 7 boys and 7 girls went out to watch a movie. How many ways can they be seated if boys are to sit together and so with the girls?
Answer by ramkikk66(644)   (Show Source):
You can put this solution on YOUR website! If all the boys have to sit together, and so do all the girls,
Consider all the boys as a single unit and all the girls as another unit. So there are only 2 units which can be arranged in 2! = 2 ways.
However, within each unit, the 7 people (boys or girls) can be arranged in 7! ways.
Hence the total number of possible arrangements = 7! * 7! * 2 = 50803200 ways.
:)
|
|
|
