Qstn:

I don’t need solution or Hint i have a doubt in question

Consider a example where i have performed a following operation for converting x to A

x->y

y->z

z->A

so number of conversion count is 3 or 1??

Qstn:

I don’t need solution or Hint i have a doubt in question

Consider a example where i have performed a following operation for converting x to A

x->y

y->z

z->A

so number of conversion count is 3 or 1??

Should be 1.

" if there is an inversion that transforms a letter x to a letter y and an inversion that transforms the letter y to a letter z, you may assume that there’s also an inversion that transforms the letter x to the letter z."

The inversion relation is transitive. Therefore if an inversion that transforms x to y and one which performs y to z then there exists a relation that transforms x to z. Using this fact one can safely conclude that the number of conversions in your example would be 1.