Let's say I have n fair (six-sided) dice (n>=6) and I want to figure out the probability of getting each side at least once. I figured out a formula through elementary combinatorial reasoning: 6!⋅(n6)⋅6n−66n
First, of all, is this formula correct?
Second, somewhere I read that I could do this with the sieve formula. How do I use the sieve formula for this one?
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