A fair coin is flipped 9 times. What is the probability of getting exactly 6 heads?

A fair coin is flipped 9 times. What is the probability of getting exactly 6 heads?
A coin is flipped 9 times so there are 29 possible outcomes that can happen and each are equally
likely. So the total numbers of ways are: 29 = 512
Now the actual number of ways of getting exactly 6 heads out...