How many ways are there to place 25 different flags on 10 numbered flagpoles if the order on a flagpole is a) not relevant? b) relevant? c) relevant and every flagpole flies at least one flag?
I'm not unsure how to start this problem.
1 Answer
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For $a$ you have a stars and bars problem where you have to have exactly $10-1=9$ dividers. For b you multiply by the factorial of each component. For c the Wikipedia article shows how to modify the number.
answered Mar 4, 2014 at 4:14