20. DNA is made of nucleotides. Nucleotides cancontain any one of these nitrogen

Question

20. DNA is made of nucleotides. Nucleotides cancontain any one of these nitrogenous bases: A(adenine), G(guanine),C(cytosine), T(thymine). If one of those four bases (A,G,C,T) mustbe selected three times to form a linear triplet, how manydifferent triplets are possible? Note that all four bases can beselected for each of the three components of the triplet.

My teacher said the answer is 64 but I thought it was 24, Ireally need help in figuring out the steps to get this answer. Iwill rate lifesaver, thanks

Explanation / Answer

the question is permutation with repitition. that means if the first base selected is A, then the secondbase selected can also be an A or the others. hence no. of linear triplets that can be formed = 6 x 6 x6 =64

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