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## Homework Statement

I recently posted a bingo probability problem, and you guys helped me get an correct answer. Now I have a different problem:

6 balls (can be) are distributed into 12 boxes. What is the probability that the 10 boxes are empty?

Simple enough, right? Well its giving me headache because, I just digested the problems with dice, bingo, and conditional probability.

## Homework Equations

## The Attempt at a Solution

Straight after I saw this problem, my stomach told me that there are 12

^{6}possible combinations. But that was about it.

I don't know how to find the number of ways you can fill only 2 boxes. I know from combinations that it would look something like this:

[itex] \binom{6}{2} [/itex]

But I feel like I am missing something, because these balls in boxes I was avoiding the whole time I was learning probability. I find them very confusing.

Any help?

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