KiFinal answer:
The number of different proteins that can be made from 20 commonly-occurring amino acids, each containing 100 amino acids, is 20 raised to the power of 100, which is option "a. 20¹⁰⁰".
Step-by-step explanation:
The student has asked about the number of different proteins that can be made from the 20 commonly-occurring amino acids, with each protein containing 100 amino acids. Each position in the protein can be occupied by any of the 20 amino acids, and so for a protein made up of 100 amino acids, the number of different combinations can be calculated as 20100.
Therefore, the total number of different proteins that can be made is 20 raised to the power of 100, which is expressed mathematically as 20100.
The correct option for the question on how many different proteins containing 100 amino acids can be made from the 20 commonly-occurring amino acids is 20100, represented as choice "a. 20100".