Question 91
20 students participated on a field trip. They all wanted to climb on top of a lighthouse, but only one person was allowed to the lighthouse at once. The order of climbing was determined by a lottery such that in the beginning every student is randomly assigned a number of 1 through 20 (such that no number is repeated). The one who gets the smallest number is the first one to climb the lighthouse. In the next round all the rest of the students are randomly assigned numbers 1 through 19 and the one who gets the smallest number gets to be the next one to climb the lighthouse. This process is repeated until all the students have climbed the lighthouse. Due to a strange occurrence no one student was assigned the same number more than once. Miku was assigned the number 14 in the first round. Find all possibilities what number could have been assigned to Miku in the 9th round.