Y by abacadaea, HamstPan38825, Adventure10
Kevin has
cookies, each labeled with a unique nonempty subset of
. Each day, he chooses one cookie uniformly at random out of the cookies not yet eaten. Then, he eats that cookie, and all remaining cookies that are labeled with a subset of that cookie (for example, if he chooses the cookie labeled with
, he eats that cookie as well as the cookies with
and
). The expected value of the number of days that Kevin eats a cookie before all cookies are gone can be expressed in the form
, where
and
are relatively prime positive integers. Find
.
Proposed by Ray Li









Proposed by Ray Li