# 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?

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?

• Welcome to MSE. You'll get a lot more help if you show that you have made a real effort to solve the problem yourself, even if you haven't made much progress. What are your thoughts? What have you tried? How far could you get? Where are you stuck? This question will likely be closed if you don't add more context. Please respond by editing the question body. Clarifications don't belong in the comments. Apr 12, 2021 at 3:07
• The numbers in the title and question do not match. Apr 12, 2021 at 3:19