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How many ways can you place 8 distinct flags on 3 distinct poles if no pole can be empty.

Im not sure how to approach this problem because writing out all the possibilities would take a lot of time

So I was thinking it would be something like

8C3 to select the three flags that have to be placed.

Then you could take any permutation of the flags on the poles to get 3!

From there I was thinking that you could take the remaining flags and just place them on any of the poles

This is what I got

8C3 * 3!* 3^(5)

I am not sure if it is right though

Im not sure how to approach this problem because writing out all the possibilities would take a lot of time

So I was thinking it would be something like

8C3 to select the three flags that have to be placed.

Then you could take any permutation of the flags on the poles to get 3!

From there I was thinking that you could take the remaining flags and just place them on any of the poles

This is what I got

8C3 * 3!* 3^(5)

I am not sure if it is right though

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