The number of different combinations of maternal and paternal chromosomes in gametes is determined by the formula:
\[
\text{Number of combinations} = 2^n,
\]
where \( n \) is the haploid number (half of the diploid number). The diploid number is given as 12, so the haploid number \( n = \frac{12}{2} = 6 \).
Thus, the number of different combinations is:
\[
2^6 = 64.
\]
Therefore, the number of different combinations of chromosomes in the gametes is 64.