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In the unit cell  particles A occupy 8 positions at corner and each is shared by 8 unit cells. So number of particles required for one unit is 1


Particles B occupy 6 positions at the 6 faces and each is shared by 2 unit cells. So number of particles required for one unit is

Particles C occupy 12 positions at mid points of 12 edges and each is shared by 4 unit cells. So number of particles required for one unit is 3 .

Again  C also occupies unique position at the body center.

By the problem 4 C particles at the edges and one C particle at the body center lying on a plane passing through edge body diagonal are removed.

So the number of  C particles in one unit cell becomes = 1/4(12-4) =2

Hence the formula should be AB3C2

Hence our option should be (d), None of these.

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