If the two parents are heterozygous for a particular gene, how many different genotypes could possibly be seen in the F1 generation?
Three
In the punnet square given above, both parents are heterozygous for the gene. In this case, there is a chance for the offspring to be homozygous dominant (BB) or homozygous recessive (bb). Alternatively, the offspring may also be heterozygous dominant (Bb). So, in total you can have three genotypes.