A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?
Options:
(A) 3
(B) 4
(C) 6
(D) 8
(E) 24 Stream of consciousness:
Mother has a fixed place and father, so there are 4! ways to arrange the children, hence
Thus, the answer is (E).