The genetic code is based upon a triplets, where certain codons code for the same amino acid and are therefore redundant. Suppose instead that the genetic code is based upon a doublets. Given a nucleotide composition of four unique bases, determine the total possible number of codons.

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codon
three nucleotides—called a triplet or codon—codes for one particular amino acid in the protein. The nucleotide sequence in the DNA is first transcribed into a molecule of messenger RNA (ribonucleic acid).