Explanation:

When an electron is transferred from A to B, it means that A loses an electron and forms a positive ion A+, while B gains an electron and forms a negative ion B-. This type of reaction is called an electron transfer reaction or redox reaction.

In order for the reaction to be possible, there must be an energy difference between the ionization energy (IE) of A and the electron affinity (EA) of B. The ionization energy is the energy required to remove an electron from an atom or ion, while the electron affinity is the energy released when an electron is added to an atom or ion.

Let's analyze the given options to determine the correct answer:

a) (EB - IB) > (IA - EA)
This option suggests that the energy released when an electron is added to B (EB) minus the ionization energy of B (IB) should be greater than the ionization energy of A (IA) minus the electron affinity of A (EA). However, this condition does not guarantee the possibility of the reaction.

b) (IA - EB) > (IB - EA)
This option suggests that the ionization energy of A (IA) minus the energy released when an electron is added to B (EB) should be greater than the ionization energy of B (IB) minus the electron affinity of A (EA). This condition does not provide sufficient information to determine the possibility of the reaction.

c) (IB + EB) > (IA + EA)
This option suggests that the ionization energy of B (IB) plus the energy released when an electron is added to B (EB) should be greater than the ionization energy of A (IA) plus the electron affinity of A (EA). This condition ensures that the energy difference is favorable for the electron transfer to occur, making this option the correct answer.

d) (IA - EA) > (IB - EB)
This option suggests that the ionization energy of A (IA) minus the electron affinity of A (EA) should be greater than the ionization energy of B (IB) minus the energy released when an electron is added to B (EB). This condition does not provide sufficient information to determine the possibility of the reaction.

Therefore, the correct answer is option 'C' ((IB + EB) > (IA + EA)), as it ensures that the energy difference between the ionization energy and electron affinity of the species involved in the reaction is favorable for electron transfer to occur.