How many ways are there to distribute $30$ indistinguishable objects into $6$ distinguishable boxes if there has to be at least $2$ objects per box? I can get how to do this if it was at least 1 object, but I'm not sure how to approach this problem? If I was to solve this using stars and bars, would I have to put a bar in a gap with two objects on either side?
2026-03-28 03:53:00.1774669980
How many ways are there to distribute $30$ indistinguishable objects into $6$ distinguishable boxes if there has to be at least $2$ objects per box?
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Hint: it equals to the number of ways of putting 18 objects into the six boxes without restrictions.