To solve this question, we need to compare the number of d-electrons in ${Fe^{2+} (Z=26)}$ with the number of specific type electrons in other elements mentioned in the options.
Let's analyze each option one by one:
Now, let's find the electronic configuration of ${Fe^{2+}}:
The neutral Fe atom loses two electrons to form ${Fe^{2+}}. The removal of electrons occurs from the 4s orbital first, followed by the 3d orbitals due to energy considerations. Thus, the electronic configuration of ${Fe^{2+}} is ${[Ar] 3d^6}. Therefore, the number of d-electrons in ${Fe^{2+}} is 6.
Comparing all the options:
Clearly, the number of d-electrons in ${Fe^{2+}} (6) is not equal to the number of p-electrons in Cl (11).
Conclusion: The number of d-electrons in ${Fe^{2+}} is not equal to the number of p-electrons in ${Cl (Z=17)}.