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If (nCr+4 nC(r+1)+6 nC(r+2)+ 4 nC(r+3)+...

If `(nC_r+4 nC_(r+1)+6 nC_(r+2)+ 4 nC_(r+3)+nC_(r+4))/(nC_r+3 nC_(r+1)+3 nC_(r+2)+nC_(r+3))=(n+k)/(r+k)` then the value of k is :

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