Find the probability p that at least two people in a group of k people will have the same birthday, that is, will have been born on the same day of the same month but not necessarily in the same year. Consider 365 days in a year. (moreover, assume twins are not present) Return to the earlier problem. How many different sets of birthdays are available with k people and 365 days when we don’t distinguish the same

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Find the probability p that at least two people in a group of k people will have the same birthday, that is, will have been born on the same day of the same month but not necessarily in the same year. Consider 365 days in a year. (moreover, assume twins are not present)

Return to the earlier problem. How many different sets of birthdays are available with k people and 365 days when we don’t distinguish the same
birthdays in different orders? For example, if k = 3, we would count (Jan. 1, Mar. 3, Jan.1) the same as (Jan. 1, Jan. 1, Mar. 3).

Please provide a complete and thorough explanation for your answer. Thank you.

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