Question: How many ways are there to distribute five objects into six boxes if
a) both the objects and boxes are labeled?
b) the objects are labeled, but the boxes are unlabeled?
c) the objects are unlabeled, but the boxes are labeled?
d) both the objects and the boxes are unlabeled? The signless Stirling number of the first kind c(n, k), where k and n are integers with 1 ≤ k ≤ n, equals the number of ways to arrange n people around k circular tables with at least one person seated at each table, where two seatings of m people around a circular table are considered the same if everyone has the same left neighbor and the same right neighbor