If the sigma is {0,1,2}, how many states to design FA


If the sigma is {0,1,2} & we want to design a FA then how many states are possible for 27.
a) 4
b) 5
c) 6
d) None of these

Ravi Garg edited question
    Sushant Bhargav (anonymous)

    nope it’s 6, it’s not an FA until every state transitions for each and every input alphabet so we must have a dummy state as well.

    Sushant Bhargav answered
      Nitin Jaiswal (anonymous)

      Its  a ??

      Nitin Jaiswal answered
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