Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Carla is having a dinner party and is inviting 5 guests, 3 [#permalink]

Show Tags

19 Sep 2005, 14:51

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

HideShow timer Statictics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

9. Carla is having a dinner party and is inviting 5 guests, 3 boys and 2 girls. Carla knows that she needs to sit at the head of the table, but hasnâ€™t decided on fixed seats for anyone else. If she decides not to sit any of her guests next to anyone else of the same gender, how many different seating arrangements are possible?

I don't think it's circular because there is no "head" of the table with a circular table. Plus, wouldn't the question say that the table is circular since the formula is different for circular combos? I admit that the question needs further definition.

carla at the head of the table
2 boys sit beside her chair
2 girls sit on the chairs next to the boys
and finally one guy sits on the other head chair
this way no person of same sex sitting beside each other
so we get 3! arrangements for boys and 2! arrangments for girls
total 12

Moving clockwise around the table, Carla is at the head of the table and we know that seat 1 must be occupied by a boy, and there are 3 different boys who could fill this spot. Seat 2 must then be a girl. There are 2 different girls who could fill this spot. Seat 3 is another boy. Now that one of the boys is seated (next to Carla), only 2 boys remain for this seat. Seat 4 is a girl, and only one girl remains to sit here. Finally, only one boy remains for seat 5 next to Carla. So we have 3x2x2x1x1 = 12

Moving clockwise around the table, Carla is at the head of the table and we know that seat 1 must be occupied by a boy, and there are 3 different boys who could fill this spot. Seat 2 must then be a girl. There are 2 different girls who could fill this spot. Seat 3 is another boy. Now that one of the boys is seated (next to Carla), only 2 boys remain for this seat. Seat 4 is a girl, and only one girl remains to sit here. Finally, only one boy remains for seat 5 next to Carla. So we have 3x2x2x1x1 = 12

Although I assumed while solving this question, how do we know if the table is round or rectangular..what is head of the table in circular table? does ans differ?

I think that what is meant by this question is a rectangular table.

Head of table at one end, two seats on either side of that end, one seat at opposite end to head of table. No difference between this mathematically and a circular table with one fixed seat.

In a circular arrangement, head of table is defined as wherever the head of the table wants to sit !