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Kamila [148]
3 years ago
8

How many different proteins, each with a unique amino acid sequence, can be constructed with a length of 6 amino acids?

Biology
1 answer:
RUDIKE [14]3 years ago
5 0
Amino acids are the building blocks of proteins. There are 20 of them in existence. For this item, we are to identify the number of different proteins that can be formed. 

In the first position in the sequence, we can have 20 amino acids. Then, because one of which was already used for the first position, 19 amino acids can still be written in the second place. This goes on, and the number of proteins can be calculated as follow,
   number of proteins = 20 x 19 x 18 x 17 x 16 x 15
   number of proteins = 27,907,200

<em>ANSWER: 27, 907, 200 proteins</em>


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So let's call the allele that is dominant for purple stems is P, and the recessive allele yielding green stems is p. And let's say that the allele that is dominant for red fruit is R and the recessive allele for yellow fruit is r.


The two plants are each heterozygour for both traits, meaning that the cross is going to be:


PpRr x PpRr


So let's setup a Punnet Square:


\left[\begin{array}{ccccc}&PR&Pr&pR&pr&PR&PPRR&PPRr&PpRR\4&PpRr&Pr&PPRr&PPrr&PpRr&Pprr\\pR&PpRR&PpRr&ppRR&ppRr&pr&PpRr&Pprr&ppRr&pprr\end{array}\right]


The genotypic ratios (alleles) and phenotypic ratios are as follows:


PPRR (Purple stem, Red fruit): \frac{1}{16}


PpRR (Purple stem, Red fruit): \frac{2}{16} or \frac{1}{8}


ppRR (Green Stem, Red fruit): \frac{1}{16}


PPRr (Purple stem, Red fruit): \frac{2}{16} or \frac{1}{8}


PPrr (Purple stem, Yellow fruit): \frac{1}{16}


PpRr (Purple stem, Red fruit): \frac{4}{16} or \frac{1}{4}


pprr (Green stem, Yellow fruit): \frac{1}{16}


ppRr (Green stem, Red fruit): \frac{2}{16} or \frac{1}{8}


Pprr (Purple stem, Yellow fruit): \frac{2}{16} or \frac{1}{8}


So then we take the like phenotypic ratios and add them together:


Purple stem, Red fruit: \frac{1}{16} +\frac{2}{16} +\frac{2}{16} +\frac{4}{16}=\frac{9}{16}


Green stem, Red fruit: \frac{1}{16}+ \frac{2}{16} =\frac{3}{16}


Purple stem, Yellow fruit: \frac{1}{16}+ \frac{2}{16} =\frac{3}{16}


Green stem, Yellow fruit: \frac{1}{16}

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