Problem:
Question- Let L = {w ? {a, b, c}*: #a(w) < #b(w) OR #a(w) < #c(w)}.
Part 1- Show that L is not regular.
Part 2- Show that L is context-free.
Part 3- Produce a context-free grammar in Chomsky normal form for L.
Please show all the calculations step by step.