MathDB

At an international event there are

100

countries participating, each with its own flag. There are

10

distinct flagpoles at the stadium, labelled 1,#2,...,#10 in a row. In how many ways can all the

100

flags be hoisted on these

10

flagpoles, such that for each

i

from

1

10

, the flagpole #i has at least

i

flags? (Note that the vertical order of the flagpoles on each flag is important)

Problem Statement