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In a room of 100 leaders, at least 1 leader is honest; and in every pair, at least one leader is dishonest. Find the maximum number of honest leaders, if every leader is either honest or dishonest.


marked as duplicate by f'', Beastly Gerbil, GentlePurpleRain Aug 16 '16 at 21:19

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  • $\begingroup$ Welcome to Puzzling! Please do not use random tags - make sure the tags you use are applicable to the question. $\endgroup$ – Deusovi Aug 16 '16 at 21:31

I feel like the question could be a little more clear, but if I'm understanding it right the answer is:

Just that one. If there were more, you would create a possible pair of two leaders such that not every pair contains at least one dishonest leader.


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