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Number of cyclic tripeptides formed with...

Number of cyclic tripeptides formed with 2 amino acids A and B is:

A

`2`

B

`4`

C

`3`

D

`5`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of cyclic tripeptides that can be formed using two amino acids, A and B, we can follow these steps: ### Step 1: Understand the Problem We need to form cyclic tripeptides using two types of amino acids, A and B. A tripeptide consists of three amino acids. ### Step 2: Determine the Number of Positions Since we are forming a cyclic tripeptide, we will have three positions to fill with either amino acid A or B. ### Step 3: Use the Formula The number of different combinations of amino acids can be calculated using the formula \(2^n\), where \(n\) is the number of positions (or amino acids) in the tripeptide. In this case, \(n = 3\). ### Step 4: Calculate the Combinations Using the formula: \[ 2^3 = 8 \] This means there are 8 different combinations of the amino acids A and B that can form cyclic tripeptides. ### Step 5: List the Combinations The possible combinations of the cyclic tripeptides are: 1. A-A-A 2. A-A-B 3. A-B-A 4. A-B-B 5. B-A-A 6. B-A-B 7. B-B-A 8. B-B-B ### Conclusion Thus, the total number of cyclic tripeptides that can be formed using the two amino acids A and B is **8**. ---
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