The correct matches are:
(A) Bye - Advantage given to a team not playing the first round. In tournaments with an uneven number of teams, some teams may automatically advance to the next round without competing, known as a "bye."
(B) Knock-out - Eliminated after first defeat. In a knock-out tournament, teams are eliminated after losing a match, and the competition continues until only one team remains as the winner.
(C) Number of byes - Next highest power of 2 minus the number of teams. The number of byes in a tournament is calculated by subtracting the number of teams from the next power of 2 (e.g., 8 teams would need 0 byes, 9 teams would need 7 byes). This ensures that the tournament structure is balanced.
(D) Number of teams in the upper half - (Number of teams + 1)/2. In a single-elimination format, the upper half of the bracket typically includes half of the teams plus one, accounting for the teams that receive byes or automatically advance in the tournament structure.