The Court may, in any case where a person dies--
(a) intestate, or
(b) leaving a will, but without having appointed an executor thereof, or
(c) leaving a will and having appointed an executor thereof, where such executor--if it thinks it necessary or convenient, appoint some person to be the administrator of the estate of the deceased or of any part thereof, upon the appointed person giving such security (if any) as the Court directs, and every such administration may be limited as the Court thinks fit.(i) is not willing and competent to take probate, or(ii) is resident out of New South Wales,