# First Problem!

Discrete Mathematics Level pending

$$P_1 , P_2 , P_3,\ldots, P_8$$ are players who play knockout tournament . They are paired randomly for each round. $$P_i$$beats $$P_j$$ iff $$i<j$$ for all $$i$$ and $$j$$.

Find the probability that $$P_4$$ reaches the final.