Ben throws four identical darts. Each hits one of four identical dartboards on the wall. After throwing the four darts, he lists the number

Ben throws four identical darts. Each hits one of four identical dartboards on the wall. After throwing the four darts, he lists the number of darts that hit each board, from greatest to least. How many different lists are possible?

 

It depends on what is imortant in the count. I mean is each board classed seperately of is is just the number of darts one any board that matters.

I'll assume it is just the number of darts that matter

Here are the possible answers

0004

0013

0022

0211

1111

That is 5 posiblilities :)