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Math Help - Inclusion Exclusion Dice Problem

  1. #1
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    Inclusion Exclusion Dice Problem

    What is the probabililty if you throw six dice, at least one number will appear exactly once?

    I know it involves the inclusion exclusion principle but i'm still confused about how to solve it
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  2. #2
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    Did you find an answer to this? I'm stuck on the same question
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  3. #3
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    Consider Ai to be the set of dice rolls that have number i appearing exactly once.

    You want to find \frac{\left|\begin{array}{c}6\\\bigcup\\i=1\end{ar  ray} A_i\right|}{\left|\mbox{The set of all possible dice rolls}\right|}

    Apply the inclusion-exclusion principle to find \left|\begin{array}{c}6\\\bigcup\\i=1\end{array} A_i\right|

    Inclusion-exclusion principle - Wikipedia, the free encyclopedia
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