Sum of all binomial coefficients of `(1+x)^(2n)` is

If the sum of all the binomial coefficients in (x+y)^n is 512 , then the greatest binomial coefficient is

The sum of the binomial coefficients of [2x+1/x]^n is equal to 256. The constant term in the expansion is: (A) 1120 (B) 2110 (C) 1210 (D) none

Sum of the coefficients of (1+2x-4x^2)^(2003)

The sum of the binomial coefficients in the expansion of ((2x)/(3) + (3)/(2x^2))^n is 64 then the term independent of x is

The sum of the binomial coefficients of the 3rd, 4th terms from the beginning and from the end of (a+ x)^n is 440 then n =

If the sum of the binomial coefficients in the expansion of (x+ 1/x)^n is 64, then the term independent of x is equal to (A) 10 (B) 20 (C) 30 (D) 40

If a,b,c,d are conseentive binomial coefficients of (1+x)^n then (a+b)/(a), (b+c)/(b), (c+d)/(c ) are is

If the sum of the binomial coefficient in the expansion of (2x+1/x)^(n) is 256, then the term independent of x is (i) 1120 (ii) 1024 (iii) 512 (iv) None of these

Prove that the coefficients of x^n in (1+x)^(2n) is twice the coefficient of x^n in (1+x)^(2n-1)dot

If n be a positive integer and P_n denotes the product of the binomial coefficients in the expansion of (1 +x)^n , prove that (P_(n+1))/P_n=(n+1)^n/(n!) .