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?

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# Flags on a Pole

Can you offer guidance or do you also need help?

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