Answer:
16
Step-by-step explanation:
After reach round the number of players will be reduced by a half.
After 1 round it will be 1024 * 11/2 = 512, after 2 rounds it will be 1024 * (1/2)^2 = 256 etc..
Thus, after 6 rounds the remaining players will be 1024* (1/2)^6
= 16 (answer)