How do you find the probability of a single continuous circle from 10 random names drawn from a hat? [closed]

Here's the situation. 10 people decide to randomly give gifts to each other. Each person writes their name on a piece of paper and puts it in a hat. Then each person randomly draws a name from the hat to determine his secret friend. Each person walks over to the person he drew and holds their left hand in his right hand. What is the probability that the 10 people holding hands form a single continuous circle?

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Mathematics Beta – Cyclops Sep 26 '10 at 2:25
mathoverflow.net – Oskar Duveborn Sep 26 '10 at 11:19

closed as off topic by Cyclops, Jason Kozak, coderanger, Neverender, Gregory Avery-WeirSep 26 '10 at 6:33

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