Sequence degeneracy

Sequence Degeneracy occurs as a result of back translating a protein sequence into a DNA sequence. 

Degeneracy occurs when back translating a protein sequence due to the many different combinations of bases that can create the same amino acid sequnce. 
However DNA sequences with ambiguous bases can be accounted for using the IUB and complement code to work out the correct reverse translation. 
For example, the protein sequence 'SCIENCE' contains the amino acids: Serine, Cysteine, Isoleucine, Glutamic, Asparagine, Cysteine and Glutamic respectively,
however as each of these amino acids can be encoded by more than one triplet, ambiguity arises.

In this instance: 'SCIENCE'
Serine = 6 possible codons 
Cysteine = 2 possible codons   
Isoleucine = 3 possible codons
Glutamic = 2 possible codons   
Asparagine = 2 possible codons   
Cysteine = 2 possible codons
Glutamic = 2 possible codons 

The degeneracy of the sequence can be determined through the multpiplication of the number of possible codons at each amino acid on the sequence. 
Degeneracy in this case is: 6 x 2 x 3 x 2 x 2 x 2 x 2 = 576 

Bioinformatica.upf.edu. (2018). SNPs in Human Selenoproteins Genes. [online] Available at:http://bioinformatica.upf.edu/2005/projectes05/3.2.4/material.html