QuestionDetails: 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 differencebetween a sequence and the same sequence reversed. For example, thesequence (A, A, T, A, G, A, T) is the same as the sequence (T, A,G, A, T, A, A). 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 :( QuestionDetails: Solution Since there are 4 different choices for each of the first fourletters that would mean that there are 4^4 symetricsequences? The chances of the sequence being a palindrome depend onthe first four sequences. This means that the total sequences that are different for 6 basesis 4^6-4^4 = the # of asymetric sequences Theb I would divide that # by 2 Finally add that to 4^4 to get the total # of distinct sequences. This turns out to be 2176 different sequences. I think this isthe right answer. This turns out to be 2176 different sequences. I think this isthe right answer..