Rememeber that the cardinality of the finite 'alternating group" is .Originally Posted bymathlg

In this case thus,

Thus there are 12 even premutations.

For the second part, all the premutations you named are odd!

Because,

The number of transpositions here is an odd number!

Also, the premutation

Thus, there are two mistakes, first they are all odd

and not all are distinct-which basically means you did not list all the odd premutations.