[TheWarmWind]

OP updated with error corrections. Corrections are written and highlighted below.

Any player on the 40 man who is in the minors is using up an option, with the exception of players added to the 40 man after spring training has started but have yet to be called up to the majors.

The 60-day disabled list removes a player from the 40 man roster and does not cost an option, but they will still accrue service time or, if they were in the minors, you already spent the option anyways (unless they were added to the 40 man roster after the beginning of spring training and never were called up).