Concept: Library associations support professional development, standards, conferences, publications and cooperation among libraries.
Step 1: Identify the earliest association.
American Library Association was established in 1876.
\[
C = 1876
\]
Step 2: Identify Library Association UK.
Library Association UK was established in 1877.
\[
B = 1877
\]
Step 3: Identify ASLIB.
ASLIB was established later in the early twentieth century.
\[
E = \text{ASLIB}
\]
Step 4: Identify Indian associations.
Indian Library Association came before IASLIC.
\[
D = \text{ILA}, \quad A = \text{IASLIC}
\]
Therefore, the correct ascending order is:
\[
C,\ B,\ E,\ D,\ A
\]