of the
Week
|
Problem
of the Week |
It's your birthday and you want to have a big birthday party. You invite
100 people to your fête. Each of them invites 99 people, each of
whom
invite 98 people, each of whom invite 97 people, and so on...
Assuming that no one is invited by more than one person, and that
everyone who is invited attends your gala, how many people will be there
to wish you a happy birthday?
Your answer should be expressed in a simple closed form. Please, do
not send me a printout of 1000 lines of a computer generated integer.
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