Sum of the products of the binomial coefficients `C_0,C_1,C_2,......C_n` taken two at a time is:

Sum of the products of the binomial coefficients of (1+x)^(n) taken two at a time is

Sum of the products of the binomial coefficients of (1+x)^(n) taken two at a time is

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+......+C_(n)x^(n) then show that the sum of the products of the coefficients taken two at a time,represented by sum sum_(0<=i

If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is

If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is

If a variable x takes values 0,1,2,..,n with frequencies proportional to the binomial coefficients .^(n)C_(0),.^(n)C_(1),.^(n)C_(2),..,.^(n)C_(n) , then var (X) is

If (1+x)^n=C_0+C_1x+C_2x^2+.......+C_n x^n , then show that the sum of the products of the coefficients taken two at a time, represented by sumsum_(0lt=iltjlt=n) "^nc_i "^n c_j is equal to 2^(2n-1)-((2n)!)/ (2(n !)^2)

If (1+x)^n=C_0+C_1x+C_2x^2+.......+C_n x^n , then show that the sum of the products of the coefficients taken two at a time, represented by sumsum_(0lt=iltjlt=n) ""^nc_i ""^n c_j is equal to 2^(2n-1)-((2n)!)/ (2(n !)^2)

If (1+x)^n=C_0+C_1x+C_2x^2+.......+C_n x^n , then show that the sum of the products of the coefficients taken two at a time, represented by sumsum_(0lt=iltjlt=n) "^nc_i "^n c_j is equal to 2^(2n-1)-((2n)!)/ (2(n !)^2)