Gamete formation occurs during meiosis and depends on how idependent segregation occurs and how chromosomes combine. In the exposed example, the number of gametes this organism can produce is 16.
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Before answering this question, remember that gamates formation occurs during meiosis.
Gamete formation involves the random and independent segregation of the alleles.
During anaphase I (meiosis) occurs the independent separation of homologous chromosomes that migrate to opposite poles of the cell.
This separation generates different chromosomal combinations in the daughter cells. There are two alternatives per homologous pair.
We could make the possible combinations, but it takes too much time, specially when the number of chromosomes is to high. So we will just use a formula.
The number of gametes with different combinations is 2ⁿ, where
n = number of homologous pairs = haploid number.
In the exposed example there are 4 pairs of chromosomes, so
- 2n = 8 = diploid number
- n = 4 = haploid number = homologous pairs
the number of possible combinations of chromosomes is
nº of gametes = 2ⁿ = 2⁴ = 16
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