Mr. and Mrs. Hudson invited 40 guests to their club for a party. They were all seated in a vast hall inside the club. Outside the receptionist who was looking at the guest list was wondering how many people shared the same birthday.

What is the probability that among all the people in the hall, not one person shared his/her birthday with anyone else?

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Consider that each year has 365 days, (ignore leap years).

Give the answer correct to 3 decimal places.

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