In knockout tournaments, the number of participating teams rarely aligns with a perfect power of 2. To facilitate subsequent rounds, Byes are strategically allocated to reduce the team count to the nearest power of 2. For a tournament with 19 participating teams, determine the number of Byes as follows:
1. Ascertain the smallest power of 2 that is equal to or greater than the number of participating teams (19). The sequence of powers of 2 is 2, 4, 8, 16, 32, and so on. The relevant power of 2 for this scenario is 32.
2. Employ the formula: Byes = (Nearest Power of 2) - (Number of Teams).
3. Apply the formula with the identified values:
Byes = 32 - 19 = 13.
Consequently, a knockout tournament with 19 teams requires the issuance of 13 Byes.
| LIST I | LIST II | ||
|---|---|---|---|
| A | AAI | II | Archery |
| B | ALFF | I | Football |
| C | AFI | IV | Athletics |
| D | BAI | III | Badminton |
| LIST I | LIST II | ||
|---|---|---|---|
| A | Asian Games Tokyo | I | 1958 |
| B | Asian Games Jakarta | III | 1962 |
| C | Asian Games Guangzhou | IV | 2010 |
| D | Asian Games Bangkok | II | 1998 |
| LIST I | LIST II | ||
|---|---|---|---|
| A | Pankration | I | An event combining running & wrestling |
| B | Hoplitodromos | II | A race where competitors ran in full armor |
| C | Diaulos | III | A sprinting race of 400 meters |
| D | Tethrippon | IV | Four horse chariot race |