With the serial number that you provided,your Springfield model 1873 Trapdoor Carbine was produced in the year 1877.
made in 1888
The serial number that you have supplied,indicates that your Springfield model 1873 rifle/carbine was made in the year 1880.
made about 1875
There is no way of knowing this.All records of the US model 1873 springfield rifle/carbine will not have what regiment was issued which rifle by serial number.
made in 1875
made 1874. if a Carbine it might be around Custers time
made 1882
If you wish to supply the serial number,I can look up the date of manufacture for you.The serial numbers for the Springfield trapdoor rifles and carbines are in the general domain for people to find.
made 1881
made in 1889
what year was my Winchester M1 carbine serial number 1210906 manufactured
made in 1874. check it out but I think that is what is called a pre-custer carbine and it's value is higher. check it out at: trapdoorcollector.com if I'm right he will make you an offer...............