MathDB

There are

n

boxes which is numbere from

1

n

. The box with number

1

is open, and the others are closed. There are

m

identical balls (

m\geq n

). One of the balls is put into the open box, then we open the box with number

2

. Now, we put another ball to one of two open boxes, then we open the box with number

3

. Go on until the last box will be open. After that the remaining balls will be randomly put into the boxes. In how many ways this arrangement can be done?

Problem Statement