Does anybody know the solution for the following problem :

*A headmaster of a primary school performs an activity with the students of
a class to encourage them to perform better in academics. He asks them to
stand in queue, starts calling the students out one by one and asks them
their rank in class. Each one has a unique rank in class. If the rank of a
student is better than his/her previous best rank, then he awards him/ her a
lollipop (students love lollipops). Note that the first one in the queue
will always get a lollipop and the students arrange themselves in random
order in the queue. What is the expected number of lollipops the headmaster
will have to distribute among students if the total number of students in
the class is 69? Note that the answer can be a fractional number.*





Thanks and Regards,
M. Vamsee

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