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Revision as of 10:02, 19 May 2015
, 10:02, 19 May 2015→Derivation for counting the number of genotypes
There must always be P observed alleles and there can only be at most A alleles. This can be modeled by P+A-1 points where you choose A-1 points to be dividers that separate the alleles.
There must always be P observed alleles and there can only be at most A alleles. This can be modeled by P+A-1 points where you choose A-1 points to be dividers that separate the alleles.
Thus the number of ways you can observe this is <math> \binom{P+A-1}{A-1} </math>.
Thus the number of ways you can observe this is <math> \binom{P+A-1}{A-1} </math> which is equivalent to <math> \binom{P+A-1}{P} </math>.
= Derivation for getting the index of a genotype in an enumerated list =
= Derivation for getting the index of a genotype in an enumerated list =
