Question: For questions #2 through #6, we will consider a room full of 30 people. Calculate the total number of birthdays possible among the 30 people.

For questions #2 through #6, we will consider a room full of 30 people.

  1. Calculate the total number of birthdays possible among the 30 people. (Hint: there are 365 days in a year (we are ignoring leap years for the sake of simplicity), so each person has 365 possible days to have their birthday.)

  1. calculate the number of waysfor NOBODYto share a birthday among the 30 people. (Hint: the first person could have any birthday, so they have 365 options. In order to not match, the second person could have a birthday in the remaining 364 days. The next person could have a birthday in the remaining 363 days, etc.)

not sure how to do this.

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