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closed with the note: ..........
$\sum = \left \{ a,b \right \}$

Is it possible to create DFA for given language with less than 10 states?

L = $\left \{ w: \left | w \right | mod 3 = 0, \left |w \right | \neq 6 \right \}$
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no,

minimal state DFA for above language will contain 10 states only.
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