`(C_0)/1+(C_1)/2+(C_2)/3+........ +(C_10)/11` is equal to `C_r-10C_r)`

If C_r=^nC_r then (C_1)/2-(C_2)/3+(C_3)/4-...........-(C_100)/101 is equal to

If c_r=nc_r then (C_1)/2-(C_2)/3+(C_3)/4-...........-(C_100)/101 is equal to

If (1 + x)^(n) = sum_(r=0)^(n) C_(r) x^(r),(1 + (C_(1))/(C_(0))) (1 + (C_(2))/(C_(1)))...(1 + (C_(n))/(C_(n-1))) is equal to

If (1 + x)^(n) = sum_(r=0)^(n) C_(r) x^(r),(1 + (C_(1))/(C_(0))) (1 + (C_(2))/(C_(1)))...(1 + (C_(n))/(C_(n-1))) is equal to

Evaluate : 2C_0+(2^2C_1)/2+(2^3C_2)/3+........+(2^11C_10)/11 .

(11C_(0))/(1)+(11C_(1))/(2)+(11C_(2))/(3)+......+(11C_(10))/(11)=

If (1 + x)^(n) = sum_(r=0)^(n) C_(r) x^(r),(1 + (C_(0))/(C_(1))) (1 + (C_(2))/(C_(1)))...(1 + (C_(n))/(C_(n-1))) is equal to

"^10(C_0)^2 - "^10(C_1)^2 + "^10(C_2)^2 - ...... - ( "^10C_9)^2 + ( "^10C_10)^2=

"^10(C_0)^2 + "^10(C_1)^2 + "^10(C_2)^2 + ...... + ( "^10C_9)^2 + ( "^10C_10)^2=

If (^(10)C_(0))/1+(^(10)C_(1))/2+(^(10)C_(2))/3+.....+(^(10)C_(10))/(11)=(2^(P)-1)/(q) then the value of (p)/(2q) is