Consider:
Each queen of each hypothetical colony mated with 16 unrelated drones – each drone contributed his genetic complement, including a particular sex allele: So each queen of each of the 10 colonies, as already agreed, received one sex allele from each of the 16 drones with which she mates – a total of 16 unrelated sex alleles each.
Extrapolate this argument to 10 separate colonies; each colony queen receiving an unrelated sex allele from each drone, thus each colony possesses 16 unrelated sex alleles: simple multiplication dictates that there must therefore be 10 x 16 = 160 unrelated potential sex alleles in the apiary. Or if you wish to have these queen perform in a more nymphomaniac manner – 10 x 19 =180 unrelated alleles.
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