Mr. and Mrs. Lopez have three children. When they get into their family car, two people sit in the front, and the other three sit in a row in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat, and their youngest child is not allowed to sit in the other front seat. How many seating arrangements are possible?
The members are : Mr.L, Mrs.L, 1st child, 2nd child & 3rd child.
No. of possibilities = 2
No. of possibilites in other front seat = (5-2) = 3
No. of arrangements in the back seats = 3! = 6
Thus total seating arrangements \(=2×3×6\)
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