A cell has two pairs of submetacentric chromosomes, which we will call chromosomes $\mathrm{I}_{\mathrm{a}}, \mathrm{I}_{\mathrm{b}}, \mathrm{II}_{\mathrm{a}},$ and $\mathrm{II}_{\mathrm{b}}$ (chromosomes $\mathrm{I}_{\mathrm{a}}$ and $\mathrm{I}_{\mathrm{b}}$ are homologs, and chromosomes II and II $_{\mathrm{b}}$ are homologs). Allele $M$ is located on the long arm of chromosome $\mathrm{I}_{\mathrm{a}}$, and allele $m$ is located at the same position on chromosome $\mathrm{I}_{\mathrm{b}}$. Allele $P$ is located on the short arm of chromosome $\mathrm{I}_{\mathrm{a}},$ and allele $p$ is located at the same position on chromosome $\mathrm{I}_{\mathrm{b}} .$ Allele $R$ is located on chromosome II and allele $r$ is located at the same position on chromosome II_b.
a. Draw these chromosomes, identifying genes $M, m, P, p, R,$ and $r,$ as they might appear in metaphase I of meiosis. Assume that there is no crossing over.
b. Taking into consideration the random separation of chromosomes in anaphase I, draw the chromosomes (with genes identified) present in all possible types of gametes that might result from this cell's undergoing meiosis. Assume that there is no crossing over.