SOLUTION: There are 6 friends (A, B, C, D, E, F) going to a cinema which has 6 available (adjacent) seats left. How many ways can they be seated… a. if A and B are BFF’s that must be s

Question 1191164: There are 6 friends (A, B, C, D, E, F) going to a cinema which has 6 available (adjacent) seats left. How many ways
can they be seated…
a. if A and B are BFF’s that must be seated beside each other
b. if A and B are ENEMIES that must be seated apart from each other.
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

a. if A and B are best friends that must be seated beside each other

Arrange 5 "things" {AB, C, D, E, F} 5 ways (5 things POSITION 5 ways)
OR
Arrange 5 "things" {BA, C, D, E, F} 5 ways (5 things POSITION 5 ways)

(5 POSITION 4) x 2


b. if A and B are ENEMIES that must be seated apart from each other. 

Subtract 

(6 POSITION 6) - (the result of part a)

Edwin

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