Consider the following grammar, where P is the start symbol:

P [B , P] | B

B D | (P)

D x | y | z

For each of the following strings, specify whether the string belongs to the language generated by the grammar, and if so, indicate a derivation:

(a) (5 pts) z

(b) (5 pts) (x)

(c) (5 pts) [y]

(d) (5 pts) ([x,y])

(e) (5 pts) [(x),y]