Concept: Classification schemes organize knowledge systematically. Their chronology is important in library classification history.
Step 1: Identify DDC.
Dewey Decimal Classification was published first in 1876.
\[
B = \text{DDC}
\]
Step 2: Identify UDC.
Universal Decimal Classification came after DDC.
\[
A = \text{UDC}
\]
Step 3: Identify CC.
Colon Classification was introduced by S. R. Ranganathan in 1933.
\[
C = \text{CC}
\]
Step 4: Identify BC and BSO.
Bibliographic Classification came before Broad System of Ordering.
\[
E = \text{BC}, \quad D = \text{BSO}
\]
Therefore, the ascending order is:
\[
B,\ A,\ C,\ E,\ D
\]