A researcher has four different true-breeding strains of pea plants; all of which have white flowers. They know that wild type plants make purple flowers, and that each of their four strains is only mutated in one locus in the pathway that produces the purple pigment. They attempt to determine if these four strains are mutated in the same gene or different genes from each other by preforming complementation tests. To do this, they cross every strain with every other strain, and get the following offspring:Strain 1 x strain 2 gives purple offspringStrain 1 x strain 3 gives white offspringStrain 1 x strain 4 gives purple offspringStrain 2 x strain 3 gives purple offspringStrain 2 x strain 4 gives white offspringStrain 3 x strain 4 gives purple offspringHow many different genes (complementation groups) are mutated in the four strains