SOLUTION: How many ways can 9 NBA Hall of Famers be arranged for a group picture, if Charles Barkley and Michael Jordan insist on standing next to each other.

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Question 848204: How many ways can 9 NBA Hall of Famers be arranged for a group picture, if Charles Barkley and Michael Jordan insist on standing next to each other.
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
If Charles and Michael stand next to each other there are 8 * 2 ways or 16. You can see this by first treating Michael and Charles as one entity. So we have 8 objects to order. We have 8 ways to order Michael and Charles as one entity. Then since order matters, we have 2 ways to order Michael and Charles within their group.
Now of the remaining 7 there is 7! ways to arrange the other hall of famers.
So we get 16 * 7! = 80640