Show that L = {w ∈ {a, b, c}∗ | |w|a = |w|b = |w|c} is...

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Question

Show that L = {w ∈ {a, b, c}∗ | |w|_a = |w|_b = |w|_c} is not context-free by using the closure properties of the context-free languages.

Note: make sure to use the closure properties of the context-free languages.

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