Question 11
How many base $10$ four-digit numbers, $N=\underline{a\,b\,c\,d},$ satisfy all three of the following conditions?
(i) $4{,}000\le N\lt6{,}000;$
(ii) $N$ is a multiple of $5;$
(iii) $3\le b\lt c\le6.$
(i) $4{,}000\le N\lt6{,}000;$
(ii) $N$ is a multiple of $5;$
(iii) $3\le b\lt c\le6.$