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.

Algebra.Com
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)   (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

RELATED QUESTIONS

in how many ways can 10 students be arranged in a row for a group picture? When they are... (answered by ikleyn)
In how many ways can 3 of 10 show dogs be selected and arranged in order for a group... (answered by brucewill)
Seven monkeys are arranged in a row for a poster picture. How many ways can this be... (answered by Alan3354)
how many different committees of five from a group of fourteen students can be selected... (answered by ewatrrr)
Ten people (5 men and 5 women) are attending a dinner party. In how many ways can they be (answered by CPhill)
A group of 8 ladies would like to arrange themselves for picture taking.In how many ways... (answered by ikleyn)
In how many ways can a committee of 5 people be formed from a group of 10 if certain 3... (answered by richard1234)
Five peoole are to be arranged in a row for a photogragh. How many arrangements are there (answered by mathmate)
in how many ways can 3 pictures be selected from a group of 8 different pictures, and... (answered by Edwin McCravy)