AHSME 1995 Problem 11

How many base 10 four-digit numbers, $N = \underline{a} \underline{b} \underline{c} \underline{d}$, satisfy all three of the following conditions? (i) $4,000 \leq N < 6,000;$ (ii) $N$ is a multiple of 5; (iii) $3 \leq b < c \leq 6$.

$\mathrm{(A) \ 10 } \mathrm{(B) \ 18 } \mathrm{(C) \ 24 } \mathrm{(D) \ 36 } \mathrm{(E) \ 48 }$