Law of independent assortment was derived from the cross hybridization experiments done by Mendel on pea plants.

Law of Independent Assortment Sates that:

When the gametes are formed the members of the different pairs of factors segregate quite independently of each other and that all possible combinations of the factors concerned will be found among the progeny.

In the dihybrid cross experiment Mendel selected two sets of allelomorphs in garden pea variety that bears two pairs of contrasting character and wrinkled seeded plant with green cotyledon IN F1 generation all the progeny with heterozygote round-yellow was obtained.

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When F1 hybrid forms the gamete the alleles or characters or factors segregate from each other independently forming four different gametes in various recombinations. Viz. YR, Yr yR, yr when the F1 hybrid is self pollinated sixteen different recombinations.

In this cross alleles of one set behaved independently with respect to those of the other set at the time of combination in fact, round character appeared in combination with green and wrinkled appeared with yellow.