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family seating arrangements

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family seating arrangements

by daretodream » Fri Feb 19, 2010 3:32 am
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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by thephoenix » Fri Feb 19, 2010 3:39 am
daretodream 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
Total number of arrangements - arrangements with sisters sitting together=2*4*3! - 2*2(sisters together)*2*2*1(arrangement of others)=48-16=32
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by harsh.champ » Fri Feb 19, 2010 4:58 am
This question has already been discussed.Kindly check the link below.

https://www.beatthegmat.com/probabilty-q ... t8982.html
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



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