Question 1: We run the RANDOMIZEDMOTIFSEARCH algorithm on the followi…

We run the RANDOMIZEDMOTIFSEARCH algorithm on the following set of DNA strings with $k = 4$.

$\mathit{Dna} = \begin{matrix} \text{TACCT} \\ \text{ATGTC} \\ \text{CGGCG} \\ \text{ACTAA} \end{matrix}$

During some iteration of the algorithm, the profile matrix on the chosen 4-mers are given below.

$\text{PROFILE}(\mathit{Motifs}) = \begin{matrix} \text{A:} & 0.4 & 0.2 & 0.2 & 0.2 \\ \text{C:} & 0.2 & 0.4 & 0.2 & 0.2 \\ \text{G:} & 0.2 & 0.2 & 0.4 & 0.2 \\ \text{T:} & 0.2 & 0.2 & 0.2 & 0.4 \end{matrix}$

Which of the following can be the set of motifs that are chosen for the next iteration?