A diploid organism is heterozygous for 4 loci, how many types of gametes can be produced?
16 types of gametes can be produced by a diploid organism that is heterozygous for 4 loci.
According to the Law of Segregation, during gamete formation, the factors or alleles of a pair segregate from each other such that a gamete receives only one of the two factors. A heterozygous parent produces two kinds of gametes each having one allele with equal proportion.
For each of the 4 heterozygous loci, there are 2 possible alleles that can be passed on. Therefore, the total number of different gamete types = × = 16 gamete types.
Explanation
This question is based on the Law of Segregation from the NCERT textbook. The context states that a heterozygous parent produces two kinds of gametes, each having one allele. The dihybrid cross example in the context shows 4 gamete types (RY, Ry, rY, ry) for 2 heterozygous loci, confirming the pattern. Extending this to 4 heterozygous loci: = 16 different gamete combinations.
Solution Steps
Step 1: Identify that for each heterozygous locus, 2 types of gametes are possible (as per Law of Segregation)
Step 2: Apply the formula: Number of gamete types = , where n = number of heterozygous loci
Step 3: Calculate: = × = 16 gamete types