SOLUTION: how many ways can 7 people A,B,C,D,E,F and G, sit in a row at a movie theater if A and B must sit by each other?

Question 647599: how many ways can 7 people A,B,C,D,E,F and G, sit in a row at a movie theater if A and B must sit by each other?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"if A and B must sit by each other", then A and B can be thought of as the same person. Think of this person as AB.

So
A,B,C,D,E,F and G
becomes
AB,C,D,E,F and G

So you now have 7-1 = 6 people filling 6 seats. So there are 6! = 720 different ways to fill these seats.

This is also true for BA. So we double the count to 1440

Therefore, there are 1440 different ways to seat 7 people where A and B must sit by each other.
RELATED QUESTIONS
Seating in a Movie Theater How many different ways can 5 people--A,B,C,D and E-- sit in... (answered by Edwin McCravy)

How many different ways can six people - A,B,C,D,E,F - sit in a row at a movie theater if (answered by kibauu)

"In how many ways can 8 people A, B, C, D, E, F, G and H be seated in a row if persons A... (answered by ewatrrr)

How many ways can 3 couples sit in a row in a movie theater if all couples must sit... (answered by robertb)

How many ways can 5 people A, B, C, D, E sit in a row if A must be to the left of B but... (answered by greenestamps)

There are 8 people A, B, C, D, E, F, G, H sitting in a row. If A must sit on the far... (answered by rothauserc)

How many ways can a row of four girls followed by four boys be arranged if the girls... (answered by amoresroy)

In how many ways can 7 people be seated in a row of 9 chairs if Jane and Joe must sit... (answered by Edwin McCravy)

A, B and their teammates watched a movie, they all sit in a row and they can sit in n... (answered by Edwin McCravy)