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Question Number 120090 by bramlexs22 last updated on 29/Oct/20

Find the number of subsets of  { 1,2,3,...,2000 } the sum of   whose elements is divisible by 5

$${Find}\:{the}\:{number}\:{of}\:{subsets}\:{of} \\ $$$$\left\{\:\mathrm{1},\mathrm{2},\mathrm{3},...,\mathrm{2000}\:\right\}\:{the}\:{sum}\:{of}\: \\ $$$${whose}\:{elements}\:{is}\:{divisible}\:{by}\:\mathrm{5} \\ $$

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