There are 657 people in a ping pong competition. The 1 person left out will be given a buy into the 2nd round.

Question

The tournament plays with the regular rules of ping pong and if u lose, ur out rules. How many rounds will have to be played to determine the winner/ champian?

Answer 1

Ten rounds.

There will be 328 matches in the first round, 164 matches in the second round, 82 matches in the third round, 41 matches in the fourth round, 21 matches in the fifth round, 10 matches in the sixth round, 5 matches in the seventh round, 3 matches in the eighth round, one match in the ninth round, and one match in the tenth round.

Answer 2

Approximately 9 rounds

Answer 3

You will have several rounds with a "buy".

It will be determined like this:

657 + 1 (for buy) / 2 which will leave you with

329 + 1 (for buy) / 2 =

165 + 1 (for buy) / 2 =

83 + 1 (for buy) / 2 =

42 / 2 =

21 + 1 / 2 (for buy) =

11 + 1 / 2 (for buy) =

6 / 2 =

3 + 1 / 2 =

2 / 2 =

1

so counting them up we get 10 rounds.