Question $19$

$10pts$

Assume you have the following Mealy machine: $(Q,,q_0,,,)$ where $=\{0,1,2\}$ is the input alphabet set, $$ is the transition function. $=\{a,b\}$ is the output alphabet set, $$ is the output function, and $Q=\{A,B,C\}$ is the set of all states. We convert this Mealy Machine to Moore machine. In the Moore machine, assume that $Q^{\text{'}}$ is the set of all states in the Moore machine. Which one$($s$)$ may be the cardinal number of $Q^{\text{'}}?$

$7$

$8$

$9$

$-2010$

$6$

$12$

$5$