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A chain letter begins when one person sends a letter to five other people. Each person who receives the letter or sends it to five

A chain letter begins when one person sends a letter to five other people. Each person who receives the letter or sends it to five other people who have never received it or sends it to no one. Suppose that 10,000 people send the letter before the chain ends, and that no one receives more than one letter. How many people receive the letter and how many do not send it?

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