Carla is having a dinner party and is inviting 5 guests: 3 boys and 2

Question

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 hasn'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?

A. 6
B. 12
C. 24
D. 36
E. 60

A. 6
B. 12
C. 24
D. 36
E. 60

nick1816 · Answer

Boys will sit on 2 chairs next to Carla and on 1 chair in the middle of 2 girls. And on the remaining 2 chairs girls will sit
Total sitting arrangements possible= 3!*2!=12

Archit3110 · Answer

since head position has to be fixed so there can be only 1 possible way of arrangement
bgbgcg ; 2*3*1*2*1*1 ; 12
IMO B 
had it been given that head seat can be moved around ; then we would have to make cases and solve for different combinations ..

Sneha333 · Answer

There are 2 heads of a 6 chair dining table.
Answer should be 24.

Ritwick91 · Answer

Possible seating arrangement:

------------_C_
---------_B_ _B_
---------_G_ _G_
-------------_B_

Each boy can seat in any of the 3 chairs= 3!
Each girl can seat in any of the 2 chairs= 2!

Possible combination= 3! * 2! = 12

Option B

ScottTargetTestPrep · Answer

The arrangements must be:

B - G - B - G - B

She can seat any of 3 boys in the first position, either of 2 girls in the second position, any of the remaining 2 boys in the third position, the single remaining girl in the fourth position, and the single remaining boy in the fifth position. Thus, the number of arrangements is 3 x 2 x 2 x 1 x 1 = 12.

Answer: B

btrg · Answer

Dont assume until its mentioned in the question.

Monodeep Dutta · Answer

Arrangent as follows: Carla(head) bgbgb 
The options for the boys is 3! And for girls is 2!

3*2*2*1*1= 12

Posted from my mobile device

AntoRugg · Answer

Sorry Bunuel but at the head of the could mean both sides of the table, since the table does not have just one side in seeing it, so it's 12*2

Carla is having a dinner party and is inviting 5 guests: 3 boys and 2

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Carla is having a dinner party and is inviting 5 guests: 3 boys and 2

Prep Toolkit

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