Computer Sciences > GATE 2024 Set-2 > Grammars
Consider a context-free grammar G with the following 3 rules.
S → aS,
S → aSbS,
S → c
Let w ∈ L(G). Let na(w), nb(w), nc(w) denote the number of times a, b, c occur in w, respectively. Which of the following statements is/are TRUE?
A
na(w) > nb(w)
B
na(w) > nc(w) - 2
C
nc(w) = nb(w) + 1
D
nc(w) = nb(w) * 2

Correct : a,b,c

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