How Does the Binomial Coefficient Calculate Combinations?

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g.lemaitre
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Homework Statement



Worked binomial probability calculation showing P(x) with coefficients (5 choose x), (0.25)^x and (0.75)^(5-x), and values P(0)=0.2373, P(1)=0.3955, P(2)=0.2637, P(3)=0.0879, with (5 choose 2) and (5 choose 3) each evaluated as 10.


Homework Equations


The Attempt at a Solution



do you see where it says 5 over 2 = 10 and 5 over 3 = 10. How? I don't get what they're doing.
 
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