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Game designing is the process of designing a game which includes the levels, characters, sprites, background, vector images, etc. Whereas game programming includes writing the actual codes which will make the game work and perform certain tasks. Both of the tasks are very important for creating a successful game. You should pick one which interests you, if you are good in creativity, animation, etc. Then go for designing and if you are good in coding then game programming. If you want to learn programming which are used in Unity Game Engine, then you should learn C# which is the official language which is used in Unity to create games. For learning C# from beginning you may follow this app:
https://play.google.com/store/apps/details?id=technark.cforbeginners