In rutherford's scattering experiment: (i) Indicate that the number of scattered alpha particles in the scattering angle

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In rutherford's scattering experiment:
(i) Indicate that the number of scattered alpha particles in the
scattering angle is greater than or equal to given
by: where the number of alpha particles I entering on a
gold plate with t cm thick containing ρ core per cubic
centimeter.
(ii) Prove that the partial differential of the differential
cross section can be expressed as where the space
angular element is given by and with n total
number of cores inside the gold plate.