An unknown number of people are riding a train. At
the first station the train pulls into, 1/6 of the
people onboard get off. At the successivo station, 1/5 of the remaining passengers get off. This pattern
continues so that at the successivo stations 1/4 get off, then 1/3 and then 1/2. Then at the final station, all passengers remaining on the train exit as well. Assuming no one got on the train during the rid, what is the fewest number of people that could have been riding on the train when it set out?