Question 146
Each of 10 men is either a knight (always telling the truth) or a liar (who always lies). Each of them thinks of an integer number. The first man told: "My number is greater than 1", the second told: "My number is greater than 2", ..., the tenth told: "My number is greater than 10". After that, talking in a different order, they told ten sentences: "My number is less than 1", "My number is less than 2", ..., "My number is less than 10" (each man told exactly one of those phrases). Determine the maximal possible number of knights among the 10 men.
(O. Podlipsky)
(O. Podlipsky)