There Are Three Genes in the Gene Pool for Blood

There are three genes in the gene pool for blood, A, B, and O. Two of these three are present in a person's blood: A and B dominate O, whereas A and B are codominant. This gives the following possibilities: Genotype
Phenotype
AA
Type A blood
AO
Type A blood
AB
Type AB blood
BO
Type B blood
BB
Type B blood
OO
Type O blood
Let p, q, and r represent the frequencies of the genes A, B, and O in the blood gene pool. Suppose a certain population has 40% type A, 37% type B, and 23% type O. Construct a Punnett square and find (p + q + r) ² to answer, what percent of the population has each genotype.

A) AA = 16%, AO = 18.4%, AB = 29.6%, BO = 19.02%, BB = 12.69%, OO = 4.29%
B) AA = 16%, AO = 19.4%, AB = 30.6%, BO = 15.02%, BB = 13.69%, OO = 3.29%
C) AA = 18%, AO = 19.4%, AB = 30.6%, BO = 16.02%, BB = 12.69%, OO = 3.29%
D) AA = 17%, AO = 20.4%, AB = 30.6%, BO = 16.02%, BB = 12.69%, OO = 3.29%
E) AA = 16%, AO = 18.4%, AB = 29.6%, BO = 17.02%, BB = 13.69%, OO = 5.29%