Concept: Dewey Decimal Classification is one of the most widely used library classification schemes. It was developed by Melvil Dewey.
Step 1: Understanding DDC.
DDC organizes knowledge into ten main classes using decimal notation.
\[
\text{DDC} \Rightarrow \text{Decimal classification system}
\]
Step 2: Identifying the publication year.
The first edition of Dewey Decimal Classification was published in:
\[
1876
\]
Step 3: Choosing the correct option.
Among the given options, 1876 is option (C).
Therefore, the correct answer is 1876.