Question

How many many byes will be ,if 17 teams are participating in the tournament? *

Answer 1

Explanation:

of lower half teams= N-1/2= 17-1/2= 8 teams no. of teams in upper half= N+1/2= 17+1/2= 9 teams NO. OF BYES (Power of two)= 2×2×2×2×2= 32-17= 15 BYES no. of byes in upper half teams= 15-1/2= 7 byes no.

Answer 2

Answer:

If $17$ teams are participating in the tournament, then the number of byes will be $15$.

Explanation:

In a tournament, if the number of teams is an even number (multiple of two), then the number of byes will be zero. No team gets a bye.

But, If the number of teams is an odd number, then some of the teams get byes.

That is,

Number of byes = next power of $2$ - number of teams

$= 2^{5} - 17$

$= 32 - 17$

$= 15$.

Thus, in a tournament with $17$ teams, the number of byes will be equal to $15$.