In a single-elimination tournament, half of the remaining teams are eliminated in each round. If the tournament starts with 128 teams, how many teams will be left after 5 rounds?

Question

(1 point)
Responses

16 teams
16 teams

12 teams
12 teams

8 teams
8 teams

4 teams

Answer 1

After each round, half of the teams are eliminated. Therefore, after 5 rounds, 1/2^5 = 1/32 of the original teams will be left.

1/32 * 128 teams = <<1/32*128=4>>4 teams

So, after 5 rounds, there will be 4 teams left.