Find the number of way to place m flags on n distinct poles with at least one flag on each pole if the flags are identical. What if the flags are distinct.(adsbygoogle = window.adsbygoogle || []).push({});

For the first part I said that there were

n[itex]^{m-n}[/itex]

because if you have m flag and you need each pole to have a flag you have m-n flags left. From those remaining flags we can put them on n poles.

For the second part I just did the cases if there were 2 3 and 4 poles with a small number of balls to see if I could find a pattern and this is what I got

(n!)*[itex]\frac{(m+n-1)!}{(2n-1)!}[/itex]

but I am not sure if that is anywhere close to the right answer

My question is are these answers right?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Flags on a Pole

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**