MY INVENTION IS NOT VERY POPULAR WITH PEOPLE WHO VISIT THE DOCTOR IT IS POINTY AND SOMETIMES MAKES PEOPLE CRY WH RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

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Hint: It's not as difficult as it seems. It's the number of ways the friends can form a circle divided by the number of ways the names can be drawn out of the hat.
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.
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Egg Yolk Riddle

Hint:
Neither. Egg yolks are yellow.
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True Color Of Red

Hint:
The human heart
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Hint:
Its an eye
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Hint:
Feet
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Hint:
Bones
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Hint:
London
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Hint:
London
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Unwilling To Kiss

Hint:
A spider.
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Hint:
School Bus
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Hint:
A bus
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Hint:
A Grandfather Clock
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Hint:
Getting lost
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Hint:
Kids won't eat their broccoli
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A Frog's Favorite Flower

Hint:
A croak-us.
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