Bioengineers construct peptides with new functions by starting with a particular peptide, and then mutating the amino acid present at different positions. They then screen the resulting mutant peptide for the desired function. Suppose the starting peptide is 10 amino acids long. Recall there are 20 amino acids. (a) How many peptides will need to be screened if the amino acids at positions three, four, and seven are all mutated?peptides(b) If we consider all possible mutants for the amino acid at one position only, but this can be at any of the 10 positions, how many new peptides will need to be screened?peptides

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 108CR
Question

Bioengineers construct peptides with new functions by starting with a particular peptide, and then mutating the amino acid present at different positions. They then screen the resulting mutant peptide for the desired function. Suppose the starting peptide is 10 amino acids long. Recall there are 20 amino acids.

(a) How many peptides will need to be screened if the amino acids at positions three, four, and seven are all mutated?
peptides

(b) If we consider all possible mutants for the amino acid at one position only, but this can be at any of the 10 positions, how many new peptides will need to be screened?
peptides
 
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