I have infinitely many mickey, goofy, donald, and spongebob stickers. How many different assortments of stickers can I have if I can only choose 8 stickers?
How many possible arrangements of stickers can I have?
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combinatorics
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0obviously infinitely many... – 2017-02-17
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0oops, forgot something, sorry – 2017-02-17
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0So if the amount of each type of sticker was a,b,c, and d, then a+b+c+d=8. Thus it's $\binom{8+4-1}{4}=330?$ – 2017-02-17
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0Yes, that's right. This is what [Stars and Bars](https://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)) is designed to handle. If you go through that, I think you'll get that the answer is $\binom {8+4-1}8=165$. – 2017-02-17