Hi, I kind of know how to do this, but I don't know how my teacher has reached the result he gives us.

So I have to express (1 2 4 6 3) as a product of transpositions. I got (1,3)(1,6)(1,4)(1,2) or (1,2)(2,4)(4,6)(6,3). However, the answer the teacher gives says: (1,2)(3,4)(4,6)(2,3). But where does that come from?

I would really appreciate it if you could explain me the procedure he's used... Thanks!