Consider the grammar:
S → SbS | a
Consider the following statements:
The string abababa has
(A) two parse trees
(B) two left-most derivations
(C) two right-most derivations
Which of the following is correct?

Correct option is D

Information Booster
1. Parse Tree:
· A graphical representation of the syntactic structure of a string according to a grammar.
· Different parse trees represent different derivations of the string.
2. Leftmost and Rightmost Derivations:
· Leftmost: Always expand the leftmost non-terminal first.
· Rightmost: Always expand the rightmost non-terminal first.
3. Ambiguity in Grammar:
· A grammar is ambiguous if a string has more than one parse tree or derivation.
· The given grammar is ambiguous for strings like ababab.
Additional Knowledge
· Unambiguous Grammar: A grammar where every valid string has a unique parse tree.
· Chomsky Normal Form (CNF): Used to simplify grammar and remove ambiguity where possible.