256 teams play in a state soccer tournament. A team is eliminated from the tournament after one loss. In the first round

[M7MBA]

256 teams play in a state soccer tournament. A team is eliminated from the tournament after one loss. In the first round, all 256 teams play one game. If a team wins, it advances to the next round, where it plays another winning team. This process repeats itself until only one team is left, having advanced through each round without losing. How many games are played in the tournament?

A. \(255\)

B. \(256\)

C. \(\dfrac{256!}{(254!)(2!)(2!)}\)

D. \(\dfrac{256!}{(254!)(2!)}\)

E. \(\dfrac{256!}{254!}\)

Answer: A

Source: Veritas Prep