There are 5 people in a room. Make the following simplifying assumptions about their birthdays:
Ignore leap years; assume 365 days in the year.
For each person, assume that the chance he/she is born on a specified day is 1/365.
No twins! Assume that the chance that someone is born on a specified day is not affected by other people’s birthdays.

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1.Find the chance that the 5 people have 5 different birthdays.

2.Find the chance of a "match": that is, at least two people in the room have the same birthday.

3.Repeat 4B for a room in which there are 400 people.

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