facebook indexing google or google indexing facebook ?

There have been rumors that Facebook is up to compromise users privacy by automatically indexing all users info on Google.
to response to the following question Facebook posted the following response.

There have been misleading rumors recently about Facebook indexing all your information on Google. This is not true. Facebook created public search listings in 2007 to enable people to search for your name and see a link to your Facebook profile.

In case you are not willing to allow your name being indexed by Facebook and emerging on Google or Bing search there is an easy trick. just follow this easy fast steps to prevent Facebook from indexing your name and info
Step 1

Go to the Settings>Privacy Settings>Search
Step 2

If the Allow indexing box is checked for search engines, just uncheck it

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