Question

How many byes will be given if there are 17 teams in a knockout tournament?

• A. 1
• B. 8
• C. 15
• D. 12

Hint:

Formula: Byes = Next power of 2 − Number of teams.

Answer 1

The Correct Option is C

Concept: In a knockout tournament, the total number of teams must be a power of 2 (like 2, 4, 8, 16, 32). If the number of teams is not a power of 2, byes are given to adjust it to the next power of 2.
Step 1: Find Next Power of 2 Number of teams = 17 Nearest power of 2 greater than 17: \[ 2^5 = 32 \] Step 2: Calculate Byes \[ \text{Byes} = 32 - 17 = 15 \] \[ \boxed{15} \]