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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