Consider the following predicates:

student$(x),$ which represents $x$ is a student

$,$subject$(x),$ which represents $y$

likes $(x,y),$ which represents $x$ likes $y$

easy$(x),$ which represents $x$ is easy

Translate the following English sentences into first$-$order logic:

$($a$)$ Every student likes every subject

$($b$)$ Some student likes all subjects

$($c$)$ Every student likes a subject

$($d$)$ Every student likes all easy subjects

$($e$)$ There are some students who like some not easy subjects

$($f$)$ Every easy subject is liked by some student