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How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?
Correct answer is '6'. Can you explain this answer?
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How many different tripeptides can be obtained from alanine, glycine a...
3 x 2 x 1 = 6 tripedes are possible if each is used only once : AGF,AFG,GAF,GFA,FAG,FGA
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How many different tripeptides can be obtained from alanine, glycine a...
Introduction:
In this question, we need to determine the number of different tripeptides that can be obtained from the amino acids alanine, glycine, and phenylalanine. Each tripeptide must contain all three amino acids.
Explanation:
To solve this problem, we need to consider the different arrangements of the three amino acids in a tripeptide. Since each tripeptide must contain all three amino acids, we can use the concept of permutations to find the number of different tripeptides.
Permutations:
Permutations are arrangements of objects where the order matters. In this case, the order of the amino acids in the tripeptide matters.
Using the formula for permutations:
The number of permutations of n objects taken r at a time is given by the formula:
P(n, r) = n! / (n - r)!
Applying the formula:
In this case, we have 3 amino acids (alanine, glycine, and phenylalanine) that need to be arranged in tripeptides. Since each tripeptide contains exactly 3 amino acids, we can use the formula for permutations with n = 3 and r = 3.
P(3, 3) = 3! / (3 - 3)!
= 3! / 0!
The factorial of 3 is 3! = 3 * 2 * 1 = 6.
The factorial of 0 is defined as 1.
Therefore, the calculation simplifies to:
P(3, 3) = 6 / 1 = 6
Conclusion:
Hence, there are 6 different tripeptides that can be obtained from the amino acids alanine, glycine, and phenylalanine, where each tripeptide contains all three amino acids.
In this question, we need to determine the number of different tripeptides that can be obtained from the amino acids alanine, glycine, and phenylalanine. Each tripeptide must contain all three amino acids.
Explanation:
To solve this problem, we need to consider the different arrangements of the three amino acids in a tripeptide. Since each tripeptide must contain all three amino acids, we can use the concept of permutations to find the number of different tripeptides.
Permutations:
Permutations are arrangements of objects where the order matters. In this case, the order of the amino acids in the tripeptide matters.
Using the formula for permutations:
The number of permutations of n objects taken r at a time is given by the formula:
P(n, r) = n! / (n - r)!
Applying the formula:
In this case, we have 3 amino acids (alanine, glycine, and phenylalanine) that need to be arranged in tripeptides. Since each tripeptide contains exactly 3 amino acids, we can use the formula for permutations with n = 3 and r = 3.
P(3, 3) = 3! / (3 - 3)!
= 3! / 0!
The factorial of 3 is 3! = 3 * 2 * 1 = 6.
The factorial of 0 is defined as 1.
Therefore, the calculation simplifies to:
P(3, 3) = 6 / 1 = 6
Conclusion:
Hence, there are 6 different tripeptides that can be obtained from the amino acids alanine, glycine, and phenylalanine, where each tripeptide contains all three amino acids.
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How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?Correct answer is '6'. Can you explain this answer?
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How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?Correct answer is '6'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?Correct answer is '6'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?Correct answer is '6'. Can you explain this answer?.
How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?Correct answer is '6'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?Correct answer is '6'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different tripeptides can be obtained from alanine, glycine and phenylalanine, each tripeptide containing all the three amino acids?Correct answer is '6'. Can you explain this answer?.
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