Suppose a diploid slime mold is completely heterozygous at all 12 of its chromosomes (2n = 12). how many different combinations of gametes can be produced by this slime mold, assuming no homologous recombination between chromosomes

If the cell contains 12 chromosomes divided into 6 pairs, during meiosis, gametes are given 6 chromosomes, one from each pair. You would then be able to create combinations that include one of each pair of chromosomes or basically 2 power 6 = 2x2x2x2x2x2 = 64 combinations.