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Anyone here good at probability/permutations/combinations?

Trav_X
By Trav_X
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Need help with this. Ain't in my notes, just want to know. It's probably pretty easy, and I could figure it out if you gave me some time, but I'm kinda rushed and I want to see if anyone can like explain the reasoning instead of just saying the answer.

 

Do you just make a permutation for each set? Like 8 nPr 3 for the first, 8 nPr 4 for the second, and 8 nPr 3 for the last, and then multiply them all together? I feel like that is most logical, but the answer is like a very long number and I feel like that wouldn't be an answer for the unit :D I just get that vibe. If anyone is a probability person, then I need some help here lol. And if you think this is elementary, it basically is. Our honors high school math is learning fucking probability ._. We knew probability in like 6 grade, TI-34's can do Permutations and Combinations.

 

Thanks in advance, Trav.

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