SOLUTION: Three married couples are going to cross a river in a boat containing six seats in a row. Count the amount of possible combinations if: a) the husband needs to sit next to his wife

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Question 288063: Three married couples are going to cross a river in a boat containing six seats in a row. Count the amount of possible combinations if: a) the husband needs to sit next to his wife and b) the husband needs to sit next to his wife, and forbids his wife from sitting next to another man.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You are assuming that the husband has some say in the matter which these days is extremely unlikely.
a)
6 people
first has 6 possibilities
6 but only one choice who will be next to him.
6*1*4*1*2*1=48
b)
6*1*2*1*1*1=12