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Consider the context-free grammar E → E + E E → (E * E) E → id
where E is the starting symbol, the set of terminals is {id, (,+,),*}, and the set of non-terminals is {E}. For the terminal string id + id + id + id, how many parse trees are possible?
  • a)
    5
  • b)
    4
  • c)
    3
  • d)
    2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the context-free grammarE → E + E E → (E * E) E &...
Background Required to solve the question - Parse Tree Construction.
Explanation : In order to produce the yield id + id + id + id , we only required 3 productions of type E → E + E as 3 ‘+’ are required in the final string. This can be done in 5 ways as shown in the picture given below:
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Consider the context-free grammarE → E + E E → (E * E) E → idwhere E is the starting symbol, the set of terminals is {id, (,+,),*}, and the set of non-terminals is {E}. For the terminal string id + id + id + id, how many parse trees are possible?a)5b)4c)3d)2Correct answer is option 'A'. Can you explain this answer?
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