So basically I can\'t find the option to install/download the Google Play Services in the Extras folder of the Android SDK Manager. What could be the possible reasons ? Meanwhil
where are you looking for Google Play Services?
After installing it via SDK Manager, you can get it in your SDK folder extras/google/google_play_services
You have to import it first in your IDE and then include in your project as a library project.
If your at SDK 19 you may not have it show because your SDK is too low, at least it was the case for me. I was offered it among 17 other install recommendations after upgrading to SDK 20, SDK Tools 23.
Solution:
Step 1: Update everything you already have installed using the SDK manager
Step 2: Reopen SDK manager, you should see more stuff under extras including Google Play Services.