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A group consisting of N couples are going to see a movie. [#permalink]
22 Mar 2011, 19:50

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

48% (01:56) correct
52% (01:02) wrong based on 101 sessions

A group consisting of N couples are going to see a movie. The seats in each row of the theater is greater than 2N. If the group decides to all sit in the same row, each couple is indifferent to empty seats next to them, and each couple insists on sitting together, how many seating arrangements are possible?

(1) N = 5

(2) The group will all sit next to one another, starting with the first seat in the row.

Re: Seat Arrangement [#permalink]
22 Mar 2011, 20:32

1

This post received KUDOS

Seats in each row greater than 2N brings possibility to increase no be seats in a row up to 100 to 1000 to millions. However N could be 2, 4 , 6. There could be 1 or 50 or 100 or .. seats gap between each couple.Any number of arrangement is possible. Please correct me ! _________________

Consider me giving KUDOS, if you find my post helpful. If at first you don't succeed, you're running about average. ~Anonymous

Re: Seat Arrangement [#permalink]
22 Mar 2011, 20:46

1

This post received KUDOS

gmat1220 wrote:

First I thought s1 is sufficient but on taking a closer look the statement said greater than 2N seats. Hence C is sufficient. You have only three answers- a,c or worst case e. If this question turns out to be your 31-37 question take a moment to think why answer may not be E.

If the seats would have been Exactly 2N the answer is A. Please correct if the reasoning has flaw

Posted from my mobile device

You are right; if the seats were exactly 2N, the arrangements would be = 5!*(2)^5 and "A" would have sufficed. St2 tells us that they are all seating together without any gaps starting with the FIRST seat, which now means that they are indeed occupying first 10 seats of the row and the rest of the seats become immaterial and makes "C" sufficient.

Re: Seat Arrangement [#permalink]
22 Mar 2011, 20:18

First I thought s1 is sufficient but on taking a closer look the statement said greater than 2N seats. Hence C is sufficient. You have only three answers- a,c or worst case e. If this question turns out to be your 31-37 question take a moment to think why answer may not be E.

If the seats would have been Exactly 2N the answer is A. Please correct if the reasoning has flaw

Re: A group consisting of N couples are going to see a movie. [#permalink]
15 Apr 2013, 06:29

Please help.

If the seats are more than 2N, there is no upper limit.

So, if we use the counting principle, depending on the value of 2N, the number of options available to the first couple could be 100, 1000 or whatever. SUbesquent couples would be limited by where the first couple chose to sit.

Re: A group consisting of N couples are going to see a movie. [#permalink]
15 Apr 2013, 06:37

Expert's post

12bhang wrote:

Please help.

If the seats are more than 2N, there is no upper limit.

So, if we use the counting principle, depending on the value of 2N, the number of options available to the first couple could be 100, 1000 or whatever. SUbesquent couples would be limited by where the first couple chose to sit.

In this case, shouldn.t the answer be E?

Take a closer look at the second statement: The group will all sit next to one another, starting with the first seat in the row. _________________