Concept: In DDC, Library and Information Science comes under class 020. Its subdivisions are arranged according to class numbers.
Step 1: Identify Library Relationship.
Library relationship comes earlier in the DDC schedule.
\[
B = \text{Library Relationship}
\]
Step 2: Identify Administration of Physical plant.
Administration of physical plant follows after library relationship.
\[
E = \text{Administration of Physical plant}
\]
Step 3: Identify Personnel Management.
Personnel management comes next in the sequence.
\[
C = \text{Personnel Management}
\]
Step 4: Identify Library operation and General Libraries.
Library operation comes before general libraries in the DDC sequence.
\[
A = \text{Library operation}, \quad D = \text{General Libraries}
\]
Therefore, the correct ascending order is:
\[
B,\ E,\ C,\ A,\ D
\]