SOLUTION: Please help me solve this problem A Family composed of a father a mother and 3 kids are to be arranged in a row to have their picture taken. a) In how many ways can this be

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Question 276489: Please help me solve this problem
A Family composed of a father a mother and 3 kids are to be arranged in a row to have their picture taken.
a) In how many ways can this be done?
b) In how many ways can this be done if the father is to be on one end of the picture and the mother on the other?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A Family composed of a father a mother and 3 kids are to be arranged in a row to have their picture taken.
a) In how many ways can this be done?
Ans: 5P5 = 5!/(5-5)! = 5!/0! = 5! = 120
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b) In how many ways can this be done if the father is to be on one end of the picture and the mother on the other?
Arrange father and mother: 2 ways
Arrange the three children: 3! = 6
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Total arrangements = 2*6 = 12
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Cheers,
Stan H.

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