MathDB

There are

11

phrases written on

11

pieces of paper (one per sheet):
1) To the left of this sheet there are no sheets with false statements. 2) Exactly one sheet to the left of this one contains a false statement. 3) Exactly

2

sheets to the left of this one contain false statements ... 11) Exactly

10

sheets to the left of this one contain false statements.
The sheets of paper were laid out in some order in a row, going from left to right. After this, some of the written statements became true and some became false. What is the greatest possible number of true statements?

Problem Statement