A fair coin is flipped $10$ times. What is the probability that the first flip comes up heads or exactly five flips come up heads $($or both$)?$

a$.\frac{2^9+(\frac{10}{5})}{2^{10}}$

b$.\frac{2^9+2^5}{2^{10}}$

c$.\frac{2^9+(\frac{10}{5})-(\frac{9}{4})}{2^{10}}$

d$.\frac{2^9+(\frac{10}{5})-(\frac{9}{6})}{2^{10}}$