If no one answers your question...you can find out by just looking up the part based on your VIN. Once you have teh 11 digit BMW part nbr for the type of gear selector you have in mind...just click on the part number's link or copy and paste the part nbr into the website's part nbr search box...and it will reveal what other BMW models use the same part nbr.
Also remember to check the supplemental columns for any other information that may reveal things like...specific option packages...or specific build date range.
Click any of the online part database links below to find the 11 digit BMW part nbr and info as to what BMW models the gear shifter is for: