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= Derivation for indexing the number of genotypes =
 
= Derivation for indexing the number of genotypes =
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An important observation here is that the enumeration of a A alleles for a given P ploidy, the enumeration of A-1 alleles for P ploidy is a subsequence.
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An important observation here is that for the enumeration of a A alleles for a given P ploidy, the enumeration of A-1 alleles for P ploidy is a subsequence.
    
a_1, ... a_P is ordered and indexed 0 to A-1.  Clearly when P = 1, the enumeration is of the genotypes is trivially the same as the allele.
 
a_1, ... a_P is ordered and indexed 0 to A-1.  Clearly when P = 1, the enumeration is of the genotypes is trivially the same as the allele.
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