Maxima of discrete functions involving nPr, nCr, etc?

  • #1

Homework Statement



So I want to prove that the expression 20Cr×0.1r 0.9(20-r) reaches maximum value for r=(0.1)×20=2

Homework Equations




The Attempt at a Solution


I can prove it by trial and error but can't differentiate the expression because nCr isn't continuous.
 

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