Answer:
256 possible combinations.
Explanation:
Homologous chromosomes consist of one maternal chromosome and one paternal chromosome that pair up during meiosis. They have the same genes in the same loci, but not alleles.
During metaphase I they line up in a random order, this means there are different combinations of maternal and paternal chromosomes for each gamete.
There are 2 alternatives for each pair of homologous chromosomes. We calculate then the number of gametes with different chromosomic combinations as 2^n, being n the number of homologous pairs or haploid number of an organism.
For an organism with 4 pairs of homologous chromosomes: 2^4 = 16
For humans with 23 pairs of chromosomes: 2^23 = 8,388,608
For an organism with a diploid number of 16 chromosomes, we have 8 pairs of homologous chromosomes (haploid number, one set of chromosomes):
2^ 8 = 256 possible combinations of maternal and paternal chromosomes.