There are 2^63 different outcomes of a 64 team single-elimination tournamen...

Question

1.   There are 2^63 different outcomes of a 64 team single-elimination tournament such as the NCAA basketball tournament. Prove that a single-elimination tournament with 2^n teams has 2^(2^(n-1))different outcomes. Hint: Use induction.

Answer 1

how do u define the outcome ? the outcome by my definition is the final winner, hence there is only 64 outcomes. You need to clarify.