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Family seating

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Family seating [#permalink]

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New post 21 May 2009, 09:44
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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?
28
32
48
60
120

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Re: Family seating [#permalink]

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New post 21 May 2009, 13:09
My answer-B

Good ques though!!

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Re: Family seating [#permalink]

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New post 21 May 2009, 13:11
gmatprep09 wrote:
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?
28
32
48
60
120


PX
DDX

= Total No of ways - two daughters sit together
= 2*4! - 2 (choose 1 Parent for Driver seat)* 2(Daughters can be arranged themselves) * 2 (DD and X (backseat) arranged in themselves) * 2( X and X can be aranged in two ways)
=48 -2*2*2*2
=32
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Kudos [?]: 1057 [0], given: 5

Re: Family seating   [#permalink] 21 May 2009, 13:11
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