Math Corner - November 2, 2023 Edition
At NSU’s Commencement Ceremony, the Deans of 5 different colleges are invited to sit on the stage for the ceremony. These 5 Deans sit down in a random order unaware that the commencement planning team has assigned them seats. Right before the ceremony begins, the commencement coordinator (who knows the correct assigned order of seating) comes up to them and thanks them for all being in the correct assigned seats (which is shocking news to the Deans who were unaware that there were assigned seats.) Find the probability that the five deans would randomly all seat themselves in their correct assigned seats.