Concept: Library science education in India developed through certificate, diploma and degree courses. After independence, universities began to offer formal courses in library science.
Step 1: Understanding C.Lib.Sc.
C.Lib.Sc. means Certificate in Library Science. It was an early form of professional library science education.
\[
C.Lib.Sc. = \text{Certificate in Library Science}
\]
Step 2: Identifying the university.
The University of Delhi is recognized for starting the C.Lib.Sc. course first in post-independence India.
\[
\text{Post-independence C.Lib.Sc.} \Rightarrow \text{University of Delhi}
\]
Step 3: Selecting the correct option.
Among the given options, University of Delhi is the correct answer.