10 Oct 03
2 edits
You have for little men...:
A B C D
A has a black cap, B has a white cap, C has a white cap and D has a black cap, so there are 2 black and 2 white caps.
They can not see the colours of their own caps.
Person A sees nobody.
Person B sees only A.
Person C sees only A & B.
Person D sees nobody.
They are not allowed to talk to eachother, but if someone knows for sure wich colour is cap has, he must say so.
This and the other riddle I posted where asked on my Big Math test last week together with 13 other problems of wich most I already forgot!
Olav
p.s. I really messed the test up...:'(
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11 Oct 03
Originally posted by LivingLegendOk... What are we supposed to do with our four little men?
You have for little men...:
A B C D
A has a black cap, B has a white cap, C has a white cap and D has a black cap, so there are 2 black and 2 white caps.
They can not see the colours of their own caps.
Person A sees nobody.
Person B sees only A.
Person C sees only A & B.
Person D sees nobody.
They are not allowed to talk to eacho ...[text shortened]... other problems of wich most I already forgot!
Olav
p.s. I really messed the test up...:'(
11 Oct 03
Originally posted by LivingLegendI'll assume that the men know how many black and white caps there are, otherwise no-one knows what colour cap he is wearing; also, that they know how the other men are arranged, even if they can't see them.
You have for little men...:
A B C D
A has a black cap, B has a white cap, C has a white cap and D has a black cap, so there are 2 black and 2 white caps.
They can not see the colours of their own caps.
Person A sees nobody.
Person B sees only A.
Person C sees only A & B.
Person D sees nobody.
They are not allowed to talk to eacho ...[text shortened]... other problems of wich most I already forgot!
Olav
p.s. I really messed the test up...:'(
C&D do not know what colour caps they are wearing, since if their caps were swapped, it would have no effect on what any of the four men could see. Therefore C doesn't say anything.
From this, everyone infers that A and B are wearing opposite-coloured hats. Thus C&D know they are also wearing opposite-coloured hats, and B discovers that his hat is white.
When B says this, A discovers that his hat is black.
11 Oct 03
2 edits
Originally posted by AcolyteYou're almost there, but D has nothing to do with this, he can see nothing...
I'll assume that the men know how many black and white caps there are, otherwise no-one knows what colour cap he is wearing; also, that they know how the other men are arranged, even if they can't see them.
C&D do not know what colour ...[text shortened]... is white.
When B says this, A discovers that his hat is black.
There are two white caps and two black, and the persons in question know that!
Their order is 'drawed' in my first post, their line of sight has been told as well there!
Olav
12 Oct 03
Originally posted by LivingLegendI'm confused... what's wrong with my answer? 😕
You're almost there, but D has nothing to do with this, he can see nothing...
There are two white caps and two black, and the persons in question know that!
Their order is 'drawed' in my first post, their line of sight has been told as well there!
Olav
12 Oct 03
1 edit
Originally posted by AcolyteAfter re-reading your post several times, I think I understand what you mean and I think that you are right, I will give you the answer I had in mind:
I'm confused... what's wrong with my answer? 😕
B kows the colour of A's cap for he can see him, so if B had the same colour as A, C could know his own colour as there are only two caps of the same colour...C would scream, I know my colour, it is ... ! C does not do this, and so B know that the colour of his cap is different from A's, he knows that the colour of A is for example black, so his cap would be white!
Olav
13 Feb 06
ok let's assume C is the person in question. If he knows what A & B are whereing and he knows what hes whereing, then he could say that person A has this color, B has this coulor, I have that color, and D has that color.
or does the person in question know what color he is whereing.
13 Feb 06
Originally posted by sofar55Two years three months thirty days sixteen hours and fourty three minutes.
ok let's assume C is the person in question. If he knows what A & B are whereing and he knows what hes whereing, then he could say that person A has this color, B has this coulor, I have that color, and D has that color.
or does the person in question know what color he is whereing.