@user21820 I'll keep that in mind. Suppose, there are 4 employees and it is asked to count the number of ways to choose the best employee. It's 4 in this case. Why aren't we considering the previous question in reference to this? Is the interpretation is like this "the best employee and the most difficult job is already pre-determined"?

@F.Zer The idea is right, but the proof is wrong. Please check and use the formal deductive rules properly.

@F.Zer It's okay to look at other resources to get ideas. However, you need to actually get a proper formal proof. There are many non-rigorous proofs out there.

@avistein Yes, the question assumes there is already a fixed best and fixed hardest. The phrasing does not imply that you get to choose one of them to 'become' the best.