5. In a hat, there are 11 slips of paper with numbers $0,1,2,3,4,5,6,7,8,9,10$ (one with each number). Each of the eleven students takes one slip. Then they announce in alphabetical order the sentence "so far, at least $k$ students have told a lie," where $k$ is the number on the drawn slip. How many of these 11 statements can be true at most?