Number of gametes>2 power n... where n is number of hetero zygotes.. ans is 32

Introduction

A diploid organism has two sets of chromosomes, one from each parent. Each chromosome contains multiple loci, which are specific positions on the chromosome that determine the expression of certain traits. In this scenario, the organism is heterozygous for five loci, meaning it has two different alleles for each of these five loci. Additionally, the organism is homozygous for two loci, meaning it has the same alleles for these two loci.

Determination of Gametes

To understand the number of gametes that can be produced by this organism, we need to consider the principles of independent assortment and segregation. Independent assortment states that the alleles for different loci segregate independently during gamete formation. Segregation states that each pair of alleles segregates independently of other pairs of alleles during the formation of gametes.

Calculation of Gamete Variations

To determine the number of gametes that can be produced, we need to calculate the possible combinations of alleles at each locus.

1. Heterozygous loci: For each of the five heterozygous loci, there are two different alleles. As each locus segregates independently during gamete formation, there will be two possible alleles for each of these loci. Therefore, there are 2^5 = 32 possible combinations of alleles for the heterozygous loci.

2. Homozygous loci: For the two homozygous loci, there is only one allele present. As these loci do not segregate during gamete formation, there is no variation in the alleles at these loci.

Total Number of Gametes

To calculate the total number of gametes that can be produced, we need to multiply the number of possible combinations of alleles for the heterozygous loci by the number of alleles at the homozygous loci.

For the heterozygous loci: 2^5 = 32 possible combinations
For the homozygous loci: 1 possible combination each

Therefore, the total number of gametes that can be produced is 32 * 1 * 1 = 32.

Conclusion

In summary, a diploid organism that is heterozygous for five loci and homozygous for two loci can produce a total of 32 different gametes. This is determined by the principles of independent assortment and segregation, where each locus segregates independently during gamete formation and contributes to the variation in the alleles of the gametes.