Question 347639
The 1st round is the tough one.
There will be some matches with some players going on to the next round without playing (byes)
The number of people playing must remain at 78 while the number of matches plus byes must equal 64. Let m=number of matches and b=number of byes.
2m+b=78
m+b=64
--------subtract
m=14
b=50
.
Int the 1st round there are 14 matches.
then:
32
16
08
04
02
01
---
63
.
63 + 14 = 77 matches total were played.
.
Ed