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All proteins found in nature are polymers of the 20 genetically encoded amino-acids that are arranged in specific sequences. Typically, these polymers are called peptides when the number of residues is smaller than 50; longer sequences are called proteins. Even in relatively simple organisms like bacteria, the average protein is composed of 300 amino acid residues. How many possible different sequences of a 300-residue protein can be made using the 20 natural amino acids? Compare this number to the estimated number of grains of sand (1019) on Earth and the estimated number of atoms in the universe (1080).
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