. Let Π be a finite incidence geometry. Prove that, if every
line in Π has exactly n points and every point in Π lies on exactly
n + 1 lines, then Π is an affine plane. Come up with a similar
criterion for finite geometries satisfying (EP) (those geometries
are called projective planes).
Prove that every real number with a terminating binary representation (finite number of digits to the right of the binary point) also has a terminating decimal representation (finite number of digits to the right of the decimal point).
Prove that every finite integral domain is a field. Give an
example of an integral domain which is not a field.
Please show all steps of the proof. Thank you!!