Expressing a permutation as a product of transpositions

Question

Express $(123) \in S_3$ as the product of four transpositions $$(123) = \tau_1\tau_2\tau_3\tau_4$$ such that $\tau_i \neq \tau_{i+1}$ for $i = 1,2,3$.

I am confused as to how I should approach this question. In the examples from lectures we have gone over examples where there are 2 variables but not only one. Any help would be appreciated.

Answer 1

$(1 2 3) = (2 3) (3 1) (2 3) (3 1)$