CSE Group

Discrete Mathematics Level 3

My colleagues have made a What's App group by the name "CSE".

What's different about our group is that whenever anyone has a birthday from the group, someone always changes the group name to "Happy Birthday {Person Name}!!!" for that day.

I wish to know the expected number of days on which the name of group would stay "CSE".

The number of members in the group is 100. Assume birthdays are distributed equally among all days of year.

The answer will be around:

Clarifications and Assumptions:

The name of group changes back to "CSE" when it's nobody's birthday.


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