SOLUTION: seven boys and seven girls went to watch a movie. How may ways can they be seated if grace and joey are members of the group and want to sit together all the time?

Question 722523: seven boys and seven girls went to watch a movie. How may ways can they be seated if grace and joey are members of the group and want to sit together all the time?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Think of Grace and Joey as one person that take up one "seat" since they cannot be separated. So you really have 14 - 2 + 1 = 13 people.

There are 13! = 13*12*11*10*9*8*7*6*5*4*3*2*1 = 6,227,020,800 ways to arrange the 13 people

Double this to get 2*6,227,020,800 = 12,454,041,600 ways total

Note: you double it because there are 2 ways to arrange Grace and Joey
RELATED QUESTIONS
7 boys and 7 girls went out to watch a movie. How many ways can they be seated if the... (answered by josmiceli)

seven boys and seven girls went to watch a movie how many ways can they be seated if a.... (answered by ikleyn)

7 boys and 7 girls went out to watch a movie. How many ways can they be seated if boys... (answered by ramkikk66)

Calculate the number of ways in which three girls and four boys can be seated on a row of (answered by Edwin McCravy)

In how many ways can 4 boys and 4 girls be seated in a row if a. they can seat anywhere... (answered by mccravyedwin)

2 girls and 4 boys are to be seated in a row of 5 chairs. Find the number of ways they... (answered by ikleyn)

in how many ways can 4 boys and 3 girls be seated in a row of 7 seats if end seats are... (answered by stanbon)

hi good morning! I would like to know how to answer these following problems. thank... (answered by psbhowmick)

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5... (answered by stanbon)