If `C_0, C_1,C_2 ..., C_n`, denote the binomial coefficients in the expansion of `(1 + x)^n`, then `C_1/2+C_3/4+C_5/6+......` is equal to

If C_o, C_1, C_2 ....,C_n C denote the binomial coefficients in the expansion of (1 + x)^n, then 1^3. C_1 + 2^3 . C_2 + 3^3 .C_3 + ... + n^3 .C_n, =

If C_0,C_1,C_2,........, C_n denote the coefficients in the expansion of (1+ x)^n , then the value of : C_1+2C_2+3 C_3+..... +nC_n is :

If C_0, C_2, C_4,….. are the binomial coefficient in the expansion of (1+x)^9 then C_0+C_2 +C_4+ C_6+ C_8=

If C_0,C_1,C_2..C_n denote the coefficients in the binomial expansion of (1 +x)^n , then C_0 + 2.C_1 +3.C_2+. (n+1) C_n

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1. C_(1) - 2 . C_(2) + 3.C_(3) - 4. C_(4) + ...+ (-1)^(n-1) nC_(n)=

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1. C_(1) - 2 . C_(2) + 3.C_(3) - 4. C_(4) + ...+ (-1)^(n-1) nC_(n)=

If C_(0), C_(1), c_(2),...,C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then C_(0) + (C_(1))/(2) + C_(2)/(3) + ...+ (C_(n))/(n+1) or, sum_(r=0)^(n) (C_(r))/(r+ 1)

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1^(2). C_(1) - 2^(2) . C_(2)+ 3^(2). C_(3) -4^(2)C_(4) + ...+ (-1).""^(n-2)n^(2)C_(n)= .

If C_(0), C_(1), C_(2),..., C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then . 1^(2). C_(1) - 2^(2) . C_(2)+ 3^(2). C_(3) -4^(2)C_(4) + ...+ (-1).""^(n-2)n^(2)C_(n)= .

If C_0,C_1,C_2,.......,C_n denote the binomial coefficients in the expansion of (1+1)^n, then sum_(0ler) sum_(< s le n) (C_r+C_s)