What is differences between "Game" and "play"?
play and game are the same if both of them are referred to a contest or in sports.
You should remember that play has a lot of meaning. This word can refer to a theatrical play. It can also be used as a verb like:
For example: I play soccer.
Here's a complete defintion of both play and game via Merriam Dictionary:
Game - http://www.merriam-webster.com/dictionary/game
Play - http://www.merriam-webster.com/dictionary/play?show=0&t=1407387975
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