SOLUTION: A group of 7 children is going to a movie. In How many ways can the group be seated, if Randy, Sandy, Candy and Dandy refuse to sit next to each other?

Question 890592: A group of 7 children is going to a movie. In How many ways can the group be seated, if Randy, Sandy, Candy and Dandy refuse to sit next to each other?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
A group of 7 children is going to a movie. In How many ways can the group be seated, if Randy, Sandy, Candy and Dandy refuse to sit next to each other?

Let the seat numbers be:  1,2,3,4,5,6,7

Randy, Sandy, Candy and Dandy must sit in the 4 odd numbered seats.
They can be placed in the 4 odd numbered seats in 4! ways.
The other three children must be placed in the 3 even-numbered seats.
They can be placed in the 3 even numbered seats in 3! ways. 

Answer 4!*3! = 24*6 = 144 ways.

Edwin

RELATED QUESTIONS
In how many ways can 7 people be seated in a row of chairs if two of the people, David... (answered by robertb)

How many ways can 7 people be seated in a row of chairs if two of the people, Wilma and... (answered by ikleyn)

There is a group of five children, where two of the children are twins. In how many ways (answered by Edwin McCravy,greenestamps,ikleyn,mccravyedwin)

in how many ways can a committee of four be chosen from a group of ten if barry and harry (answered by Theo,robertb)

In how many ways can 7 people be seated in a row if two of them, Eddie and John, refuse... (answered by stanbon)

from a group of 5 men and 7 women, a committee of 2men and 3 women is to be formed. how (answered by sudhanshu_kmr)

seven boys and seven girls went to watch a movie. How may ways can they be seated if... (answered by jim_thompson5910)

How many ways can seven people be seated in a row if two of them refuse to sit next to... (answered by stanbon)

A group of 3 English majors, 2 anthropology majors, and 5 history majors are going out to (answered by Edwin McCravy)