How many different pentapeptides can be formed using five different amino acids?

Short Answer

Expert verified
There are 120 different pentapeptides that can be formed using the five different amino acids. This is calculated using permutations: \(Permutations = 5 * 4 * 3 * 2 * 1 = 120\).

Step by step solution

01

Understand the problem

We are given that there are five different amino acids. We are to find the total number of ways to arrange these amino acids in a sequence of length 5 to form distinct pentapeptides.
02

Calculate permutations

For the first position in the sequence, there are 5 possible amino acids that can be placed. For each of those choices, there are 4 remaining options for the second position, 3 options for the third position, 2 options for the fourth position, and only 1 option for the final position. To calculate the total number of ways to arrange the five amino acids, we can find the number of permutations: \(Permutations = 5 * 4 * 3 * 2 * 1\)
03

Calculate the result

Now, let's calculate the total number of permutations: \(Permutations = 5 * 4 * 3 * 2 * 1 = 120\) There are 120 different pentapeptides that can be formed using the five different amino acids.

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