Brainteaser

[sao123]

the most knights there can be is 9.
Assuming any random sample...

lets say all 9 knights are in the group... they all say 9.
now 8 liars say 8
now 7 liars say 7
now 6 liars say 6
now 5 liars say 5
now 4 liars say 4
now 3 liars say 3
now 2 liars say 2
now 1 liars say 1
the last 5 liars say 50 (come back to this in a second)
9+8+7+6+5+4+3+2+1 = 45
if you had 10, the total would exceed 50 = 55.



Every group you get the same answers...
9 say 9
8 say 8 and so on... no matter what the knights always tell the truth about their group.
and no matter how many knights are in the group... you always get the answer set...
all,9,8,7,6,5,4,3,2,1


Now... why do the last 5 say all?
Because 0 Liars must say 0.
because if a group of 50 liars was taken, those 5 would have to tell the truth, by picking the all option, its a guaranteed lie.

 

[Megadeth]

Look for the ones wearing armor, those are the knights. 🙂

 

[Dessert Tears]

Originally posted by: sao123
the most knights there can be is 9.
[explanation removed]

I think this is a correct answer to the question originally asked ("same set of answers"). Syringer replied to Chaotic42 to clarify/void his wording.

 

[Syringer]

Originally posted by: sao123
the most knights there can be is 9.
Assuming any random sample...

lets say all 9 knights are in the group... they all say 9.
now 8 liars say 8
now 7 liars say 7
now 6 liars say 6
now 5 liars say 5
now 4 liars say 4
now 3 liars say 3
now 2 liars say 2
now 1 liars say 1
the last 5 liars say 50 (come back to this in a second)
9+8+7+6+5+4+3+2+1 = 45
if you had 10, the total would exceed 50 = 55.



Every group you get the same answers...
9 say 9
8 say 8 and so on... no matter what the knights always tell the truth about their group.
and no matter how many knights are in the group... you always get the answer set...
all,9,8,7,6,5,4,3,2,1


Now... why do the last 5 say all?
Because 0 Liars must say 0.
because if a group of 50 liars was taken, those 5 would have to tell the truth, by picking the all option, its a guaranteed lie.

Bravo :beer:

The key was "Given that such a conspiracy is possible".

 

[sao123]

Originally posted by: Syringer

Originally posted by: sao123
the most knights there can be is 9.
Assuming any random sample...

lets say all 9 knights are in the group... they all say 9.
now 8 liars say 8
now 7 liars say 7
now 6 liars say 6
now 5 liars say 5
now 4 liars say 4
now 3 liars say 3
now 2 liars say 2
now 1 liars say 1
the last 5 liars say 50 (come back to this in a second)
9+8+7+6+5+4+3+2+1 = 45
if you had 10, the total would exceed 50 = 55.



Every group you get the same answers...
9 say 9
8 say 8 and so on... no matter what the knights always tell the truth about their group.
and no matter how many knights are in the group... you always get the answer set...
all,9,8,7,6,5,4,3,2,1


Now... why do the last 5 say all?
Because 0 Liars must say 0.
because if a group of 50 liars was taken, those 5 would have to tell the truth, by picking the all option, its a guaranteed lie.

Bravo :beer:

The key was "Given that such a conspiracy is possible".

Awesome... That took me about an hour to work it out completely.