- #1

bo reddude

- 24

- 1

- Homework Statement
- not homework, just curious

- Relevant Equations
- (CH2O)_n

Let's say you have n glucose monomers. (C6H12O6) n

You want to find out how many possible polymers exist in combining those n number of glucose molecules randomly.

So glucose_1 has 6 OHs that can combine with glucose_2 which also has 6 OHs. Starting with glucose_1's first carbon C1, at that position, you can have 6 different OHs from glucose_2 attaching to it.

Since glucose_1 has 5 other OHs, and each of those OHs can have 6 different OH from glucose_2 attaching to it, you have total of 36 different configuration of glucose dimers.

what happens if you were to think about all possible combination of glucose polymer of arbitrary length n?

It seems like 6^ n, but I can't work out the details in trying to explain it. What's the mathematical formalism involved in this?

Thanks for any help.

You want to find out how many possible polymers exist in combining those n number of glucose molecules randomly.

So glucose_1 has 6 OHs that can combine with glucose_2 which also has 6 OHs. Starting with glucose_1's first carbon C1, at that position, you can have 6 different OHs from glucose_2 attaching to it.

Since glucose_1 has 5 other OHs, and each of those OHs can have 6 different OH from glucose_2 attaching to it, you have total of 36 different configuration of glucose dimers.

what happens if you were to think about all possible combination of glucose polymer of arbitrary length n?

It seems like 6^ n, but I can't work out the details in trying to explain it. What's the mathematical formalism involved in this?

Thanks for any help.