MathDB
Password - TT 2009 Junior-O4 and Senior-O1

Source:

September 3, 2010

Problem Statement

We only know that the password of a safe consists of 77 different digits. The safe will open if we enter 77 different digits, and one of them matches the corresponding digit of the password. Can we open this safe in less than 77 attempts?
(5 points for Juniors and 4 points for Seniors)