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In 12*11*10*9*8 = 95040 ways.
Anyone of 12 amino acid in the 1-st position;
Anyone of 11 remaining amino acid in the 2-nd position;
Anyone of 10 remaining amino acid in the 3-rd position;
Anyone of 9 remaining amino acid in the 4-th position;
Anyone of 8 remaining amino acid in the 5-nd position.
In all, you get this quantity,
= 12*11*10*9*8 = 95040 ways.
Under the assumption that this logic really works in this situation.