I was going through this question on a site. It stated as below,
One more problem that is tying me up..I think because it is so much simpler than what I have been working on. Any help would be great =)
What is the probability of getting exactly $6$ heads and $3$ tails in $9$ coin tosses of an unbiased coin?
Now I were to solve the problem, I would have made a table of all the heads and tails. But this problem size is very big ($2^9$ is large). Is there any other possible way to solve the problem?
Please help me out.