In the expansion of `[2-2x+ x^2]^9` (A) Number of distinct terms is 10 (C) Sum of coefficients is 1 (B) Number of distinct terms is 55 (D) Coefficient of `x^4` is 97

The number of distinct terms in (a + b+ c + d + e)^3 is

In the expansion of (a+b+c)^10 (A) total number of terms in 66 (B) coefficient of a^8 bc is 90 (C) coefficient of a^4b^5c^3 is 0 (D) none of these

In the expansion of (1 + x) (1 + x+ x^(2)) …(1 + x + x^(2) +… +x^(2n)) , the sum of the coefficients is

Find the number of distinct terms in the expansion (x+ y + z)^10

Find the number of distinct terms in the expansion (x + y -z)^16

In the expansion of (2x^(2)-8)(x-4)^(2) , find the value of : (i) coefficient of x^(3) (ii) Coefficient of x^(2) (iii) Constant term

In the expansion of (x^(2) + (1)/(x) )^(n) , the coefficient of the fourth term is equal to the coefficient of the ninth term. Find n and the sixth term of the expansion.

Sum of coefficients of terms of odd powers of x in (1 - x + x^2 - x^3)^9 is

Consider the binomial expansion of (sqrt(x)+(1/(2x^(1/4))))^n n in NN , where the terms of the expansion are written in decreasing powers of x. If the coefficients of the first three terms form an arithmetic progression then the statement(s) which hold good is(are) (A) total number of terms in the expansion of the binomial is 8 (B) number of terms in the expansion with integral power of x is 3 (C) there is no term in the expansion which is independent of x (D) fourth and fifth are the middle terms of the expansion

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