permutation, probabilities, possibilities

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Carpe Diem!
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I suck at the "p-p-p" 🙂 I keep on getting this 1/2 right and the ones I missed because my assumption of "order is not important" was wrong. Anyone has a good link on demystifying this crap?
 
How did Dr. R came up with the long formula for Math #64? Or is that just standard and just gotta memorize...
 
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