Which of the following statements are correct?

I. Probate is a public process.

II$.$ The probate process typically takes six to $24$ months to complete.

III. Administrators are appointed by the decedent in a validly executed will.

IV$.$ Executors are appointed by the court when the decedent dies without a valid will.

Question $39$ options:

III and IV only

I, II$,$ and III only

I and II only

I, II$,$ III, and IV