Reference no: EM13337900
1. Our genetic material, DNA, is formed from a 4 letter"alphabet" of bases: A, T, G, C (adenine, thymine, guanine, andcytosine). The order in which the letters are arranged isimportant, but because a molecule can move, there is no difference between a sequence and the same sequence reversed. For example, the sequence (A, A, T, A, G, A, T) is the same as the sequence (T, A,G, A, T, A, A). (In reality, DNA molecules have identifiable ends,but ignore that in this problem.)
How many distinct DNA sequences of 6 bases are there?
I tried 4^6, and it's wrong because i forgot the reverse ofsequences is not distinct.
46/2 is also not the correct answer.
I also tried 4*4*4*3*3*3, trying to avoid the mistake I made thefirst time. But that's also not the correct answer.
Right now, I'm thinking it's some form of 4*4*4*3*4*4 + 4*4*4*4*3*4 + 4*4*4*4*4*3 , since one of the lastbases can only have 3 choices to avoid being the reverse. I don'tknow if it's (45 * 3)*6 or (45 * 3)*3. Or ifit's something completely different, since with this approach iwould get a number way bigger than 46, which I thoughtwas the total number of strings of six bases (with four choices foreach base). I can only submit the answer one more time, so it hasto be right :(
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