Let our domain be the set of all people. Translate the following sentences into first-order logic expressions.

(a) Every student is either smart or lucky (or both).

(b) Some smart students are unlucky.

(c) Some students has no lucky friends.

Use the following predicates:

S(x) : x is a student

M(x) : x is smart

L(x) : x is lucky

F(x, y): x and y are friends