Step-by-step Solution:

Quick Solution

To solve this, we only need to track the man's direction after each turn. The distances he runs are not relevant to the final direction he is facing.

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Method 1: Step-by-Step Tracking

1. Starts by running towards the East.
2. He turns right → He is now facing South.
3. He turns right again → He is now facing West.
4. He turns left → He is now facing South.
5. He turns left again → He is now facing East.
6. Finally, he turns left → He is now facing North.

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Method 2: Shortcut by Canceling Turns

A faster way is to count the total number of left and right turns. Since one left turn and one right turn cancel each other out, we can find the net effect.

• Total Right Turns: 2
• Total Left Turns: 3

The two right turns cancel out two of the left turns. This leaves a net movement of one left turn from his initial direction.

• Initial Direction: East
• Final Direction: One left turn from East is North.

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Final Answer: The man is facing North.