In the expansion of `(x^3-1/x^2)^n, n in N` if sum of the coefficients of `x^5` and `x^(10)` is 0 then `n` is

In the expansion of (x^2+1+1/(x^2))^n ,n in N , (a)number of terms is 2n+1 (b)coefficient of constant terms is 2^(n-1) (c)coefficient of x^(2n-1)i sn (d)coefficient of x^2 in n

If the number of terms in the expansion of (1-2/x+4/(x^2))^n , x!=0, is 28, then the sum of the coefficients of all the terms in this expansion, is : (1) 64 (2) 2187 (3) 243 (4) 729

Show that the coefficient of the middle term in the expansion of (1+x)^2n is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^2n-1

If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n) is a and the sum of the coefficients in the expansion of (1 - x^(2))^(n) is b , then

In the expansion of (1 + x)^(n) (1 + y)^(n) (1 + z)^(n) , the sum of the co-efficients of the terms of degree 'r' is

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

In the expansion of (3^(-x//4)+3^(5x//4))^(n) the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third by (n-1) , the value of x must be