The trustee may exercise any of the powers specified in Parts 1 and 2 of Schedule 5.
... the trustee may appoint the bankrupt—
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Part III of Schedule 5 to this Act has effect with respect to the things which the trustee is able to do for the purposes of, or in connection with, the exercise of any of his powers under any of his Group of Parts.
Nothing in this Act is to be construed as restricting the capacity of the trustee to exercise any of his powers outside England and Wales.