SOLUTION: Three boys and three girls went to see a movie together. There are 6 adjacent empty seats left in the auditorium. How many possible ways are there for them to sit in the 6 adjacent

Question 1121364: Three boys and three girls went to see a movie together. There are 6 adjacent empty seats left in the auditorium. How many possible ways are there for them to sit in the 6 adjacent seats if no two boys sit next to each other and no two girls sit next to each other?
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
There are 2 possible patterns of seating -
BGBGBG
and
GBGBGB
For each of these the girls have 3! ways to sit and the boys, also 3!, which results in 6 x 6 =36 ways for each pattern. Therefore 72 is the total among the 2 patterns.
72
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