Sentence Correction

In a helpful book on the indexing and searching of text-based electronic files, a well-respected computer scientist differentiated latent semantic indexing, which is a technique designed to analyze relationships among the words within documents, with vector space models, which can search efficiently using augmented inverted indices.
A) latent semantic indexing, which is a technique designed to analyze relationships among the words within documents, with vector space models, which can
B) between latent semantic indexing, which is a technique designed to analyze the relationships among words within documents, with vector space models, which can
C) among latent semantic indexing, which is a technique designed to analyze the relationships among words within documents, and vector space models, which can
D) latent semantic indexing, which is a technique designed to analyze the relationships among words within documents, and vector space models, which can
E) between latent semantic indexing, which is a technique designed to analyze relationships among the words within documents, and vector space models, which can

[spoiler]again a lengthy s/c[/spoiler]

IMO E.

Uses the correct idiom "differentiated between x and y"

the non underlined word differentiated indicates use of idiom
now the correct idiom is differentiated b/n X and Y where X and Y are llel
here ia
A)the idiom used is differentiated X with Y....which is wrng
B)here diff b/n X with Y..wrng
c)amng is used for more then 2 items , here we have two items hence we need b/n.......wrng
d)b/n is not used...wrng
e) correct