A 5-digit code consists of one number digit chosen from 1, 2, 3 and four letters chosen from A, B, C, D, E. If the first and last digit must be a letter digit and each digit can appear more than once in a code, how many different codes are possible?
(A) 375
(B) 625
(C) 1,875
(D) 3,750
(E) 5,625
(A) 375
(B) 625
(C) 1,875
(D) 3,750
(E) 5,625