Problem 22 (1989 AJHSME)

The letters A, J, H, S, M, E and the digits $1, 9, 8, 9$ are "cycled" separately as follows and put together in a numbered list: $1$. JHSMEA $9891$ $2$. HSMEAJ $8919$ $3$. SMEAJH $9198$ What is the number of the line on which AJHSME $1989$ will appear for the first time?