With its large mintage of over 8.2 million pieces, the 1876-CC is the most common Dime from the Mint at Carson City. As such, it is plentiful in most grades, including all Mint State grades from MS60 to MS66.
In 1876, William Barber created a new hub, thus two different reverses appear on 1876 Dimes. On the old, Type 1 reverse, the ribbon on the left side of the reverse has a split end with two points; on the new, Type II reverse, the ribbon on the left side of the reverse comes to a single point.
For the 1876-CC Dime, there is a huge disparity between the Type I and Type II reverses. Gerry Fortin has identified 35 different die varieties among the Type I reverses, but only a single die variety comprises all of the Type II reverses.
Beware -- Fortin presents two 101 varieties for this date -- one for each of the reverse types. There's a big difference in value between the Type I F-101 and the Type II F-101 (the Type II version is twice as rare as the Type I).