Question 176
There is a set of $n$ 01-sequences of length 200. Every pair of 01-sequences differ at least at 101 positions. (For example, the two 01-sequences of length 6, 111100 and 010001 differ at four positions, 1st, 3rd, 4th and 6th positions, counting from the left.) Is it possible that $n \ge 101$?