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Formal Language & Automata TheoryA minimum state deterministic finite automaton accepting the language L = \{w \mid w \in \{0, 1\}^*, \text{ number of 0's and 1's in } w \text{ are divisible by 3 and 5 respectively}\} has (i) 15 states (ii) 11 states (iii) 10 states (iv) 9 states20192mFormal Language & Automata TheoryA minimum state deterministic FA accepting the language L = \{w \mid w \in \{0, 1\}^*\} where number of 0's and 1's in w are divisible by 3 and 5 respectively, has (i) 15 states (ii) 11 states (iii) 10 states (iv) 9 states20212mFORMAL LANGUAGE & AUTOMATA THEORYA minimum state deterministic FA accepting the language: L = \{ w \mid w \in \{0,1\}^* \} where the number of 0's and 1's in w are divisible by 3 and 5 respectively, has: (i) 15 states (ii) 11 states (iii) 10 states (iv) 9 states20232mFORMAL LANGUAGE & AUTOMATA THEORYA minimum state DFA for the language: L = \{ w \in \{0,1\}^* : \#0(w) \equiv 0 \mod 3,\; \#1(w) \equiv 0 \mod 5 \} has: (i) 15 states (ii) 11 states (iii) 10 states (iv) 9 states20212m