The phrase "different ways of doing this" is correct and usable in written English.
You can use it when you are discussing multiple methods or options for completing a task. For example: "We discussed the project in detail and identified three different ways of doing this."
"There are different ways of doing this," Clark said.
I got immediately that there are so many different ways of doing this [transitioning] and it was like - " and he collapses with a happy sigh against the sofa.
Klein pioneered several different ways of doing this; most of them involved manipulating the copyrights of music-publishing businesses that no longer dependent on the sale of sheet music, as had been the case when there was a piano in every parlor now made their money on royalties from record sales and radio play and covers.
"There are also different ways of doing this without stigmatising the person, such as carrying a card with details of the condition but in some cases by wearing a coloured wristband".
A key method in the usual proofs of the first incompleteness theorem is the arithmetization of the formal language, or Gödel numbering: certain natural numbers are assigned to terms, formulas, and proofs of the formal theory F. There are different ways of doing this; one standard approach is sketched here (for a rather different method of coding, see, e.g., Boolos & Jeffrey 1989).
I think that there are different ways of doing this.
For example, Windows requires registration of metadata in the registry database while Mac OS/X and Linux provide a completely different way of doing this.
Each router will have a slightly different way of doing this, although the required information is the same for any router: Enter a name for the service.
We have to try different ways of doing and working - because this is courage.
