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Question Number 27498 by abdo imad last updated on 07/Jan/18

find  S_n  =  (C_n ^0  )^3   +( C_n ^1 )^3 +....(C_n ^n )^3   .

$${find}\:\:{S}_{{n}} \:=\:\:\left({C}_{{n}} ^{\mathrm{0}} \:\right)^{\mathrm{3}} \:\:+\left(\:{C}_{{n}} ^{\mathrm{1}} \right)^{\mathrm{3}} +....\left({C}_{{n}} ^{{n}} \right)^{\mathrm{3}} \:\:. \\ $$

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