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Please prove this and explain each step. Thank you. Use logical reasoning to solve the following...

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Advance Math

Please prove this and explain each step. Thank you.

Use logical reasoning to solve the following puzzle:
Five friends disagree on whether to play video games orbasketball. Either Alice or
Bob, or both, want to play video games. Cindy and Don disagreeon what they want to
play. If Ellen plays video games, then so does Cindy. Aliceand Don will play the same
game. If Bob plays video games, then so do Alice and Ellen.Who is playing what?

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