If sum(k=0)^(9)(-1)^(k)3^(9-k)quad^20C(k...

If `sum_(k=0)^(9)(-1)^(k)3^(9-k)quad^20C_(k)^(20-k)C_(9-k)2^(-9)=^(20)C_(r)` ,then value of `(r)/(20)` ,where `r` takes greatest possible value

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