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A family consisting of one mother, one father, two daughters [#permalink]
22 Nov 2006, 13:50
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A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front seats and three back seats. If one of the parents must drive and the two daughters refuse to sit next to each other, how many possible seating arrangements are there?
Case 1 Front seats by parents and back seats by daughters and son thus we have 2 choices for front and 2 coices for back (as daughters need to separated) = 2*2=4
Case 2 Front seats occupied by a parent and son and back seats by daughters ,parent and son thus 2 possiblities for front seats and 2 for back Thus total =4
Case 3 front seats occupied by a daughter and a parent and back seats by son daughter and parent thus possibilites =2*2*3!=24
Re: A family consisting of one mother, one father, two daughters [#permalink]
18 Mar 2017, 14:54
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