Genetics pedigree

How many kinds of gametes can be produced by an organism having genotype AaBb, if
genes A and B are on different chromosomes?
A)2
B)4
C)6
D)8

The correct answer is B. May I know the explanation?

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According to law of independent assortment, the alleles were not bound to remain in
parental combination forever, rather these were free to assort independently .
A could go with B or b in any gamete with equal change.
B could go with A or a in any gamete with equal probability. Four types of gametes, i.e., AB, Ab, aB and ab were formed in equal number in a perfect ratio of 1:1 : 1:1.

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