All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Find the Strategy (Posted on 2008-07-02)
At a competition, a group of 16 members is divided into 4 teams of 4 members each. The procedure of the competition is as follows:

Each team will be seated in a different room and after which every one will be given a cap either red or blue, i.e., total of 16 caps out of which 8 are red and 8 are blue and one from each room has to shout one of these words: Yes/No/OK and only once. They have to shout loud enough so that all other teams of their group can hear.

Then, one from each group(all 4 together) has to go to another room where they should tell the number of red and blue caps each of the other teams wore.

Before the competition started, all 16 of them are asked to devise a strategy together for every team to accomplish the task successfully. They are also told that they should not take the caps off their heads and should not talk to members of other teams until the competition is over.

Can you find out the strategy they used? It is known that all the 3 words have been shouted at least once and one of the guys said,"In this case, anyone one of four of us could have told you the distribution of hats even if we came here individually"?

Assume all their voices are indistinguishable.

 See The Solution Submitted by Praneeth No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(3): re hint | Comment 6 of 15 |
(In reply to re(2): re hint by Dej Mar)

They can talk to their own team, but it doesnot matter. If the strategy is well planned, they need not even talk to their own team also.

They should not talk to members of other team as they can directly say their distribution before going to 2nd room. By talking I also meant they shouldn't give hints like showing numbers using fingers etc.

They are not even allowed to take their caps off, now whats the advantage of going together to the other room?? I think you got it.

Their task is what each other team has, like as there are 4 caps for each team.
For example
member from A should say:
3 red 1 blue - team B
2 red 2 blue - team C
2 red 2 blue - team D

Edited on July 3, 2008, 4:24 am
 Posted by Praneeth on 2008-07-03 04:14:40

 Search: Search body:
Forums (5)