WHAT DID MRS CLAUS SAY TO SANTA WHEN SHE LOOK UP IN THE SKY POT OF COPPER FROM THE EVIL BEWARE PIRATES ARE BAD BUT THEY HAVE A CODE THESE MONGRELS DONT THEY RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

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1/10

For a group of n friends, there are n! (n factorial) ways to draw the names out of the hat. Since a circle does not have a beginning and end, choose one person as the beginning and end of the circle. There are now (n-1)! ways to distribute the remaining people around the circle. Thus the probability of forming a single circle is

(n-1)! / n!

Since n! = (n-1)! * n (for n > 1), this can be rewritten as

(n-1)! / (n*(n-1)!)

Factoring out the (n-1)! from the numerator and denominator leaves

1/n

as the probability. Did you answer this riddle correctly?
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