The number of possible genetically different gametes for an organism equals
2n, where nis the number of pairs of chromosomes. if an organism has six
pairs of chromosomes, how many different gametes can it produce?

The organism can produce 12 genetically different gametes.

The gametes are the unit of sexual reproduction which are produced by an organism from their germ mother cell by means of meiosis. This gametes do carry half the amount of total chromosomes that is present inside each cell of that organism. This process let's the genetic combinations of chromosomes to get more variations among offsprings. But this isn't the only source of variation among the offsprings.

Each and every germ mother cell that's undergoing the meiotic division undergoes a process called crossing over and chaismata formation which gives the genetic mixing among the different alleles of same character among the organism.

Thus, statistically, if the organism has n pairs of chromosomes, then the organism will be able to produce 2n number of genetically different gametes which helps in finding out the probability of genotype of the offsprings.

So if the organism has 6 pairs of chromosomes, then the organism will be able to produce 12 genetically different gametes.

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Explanation:

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cancer   is   essentially   uncontrolled   mitosis   of specialized cells