Concept: Library consortia are cooperative arrangements through which libraries share electronic resources, journals, databases and other information services.
Step 1: Identify the earliest consortium.
Among the given options, IIM Consortia is placed first.
\[
B = \text{IIM Consortia}
\]
Step 2: Place UGC-Infonet next.
UGC-Infonet was created to provide access to electronic journals and databases for universities.
\[
A = \text{UGC-Infonet}
\]
Step 3: Place NLIST after UGC-Infonet.
NLIST is connected with providing access to e-resources for colleges.
\[
D = \text{NLIST}
\]
Step 4: Place ERMED and NKRC later.
ERMED and NKRC are later consortia in the given sequence.
\[
E = \text{ERMED}, \quad C = \text{NKRC}
\]
Thus, the correct order is:
\[
B,\ A,\ D,\ E,\ C
\]