The coefficient of `x^8y^(10)` in the expansion of `(x+y)^(18)` is a. `\ ^(18)C_8` b. `\ ^(18)P_(10)` c. `2^(18)` d. none of these

The coefficient of x^(8) y^(6) z^(4) in the expansion of (x + y + z)^(18) , is not equal to

The coefficient of the term independent of x in the expansion of (x-3/x^(2))^(18) is

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

Find the 15th term in the expansion of (2y-(x)/(2))^(18)

The coefficient of x^(18) in the product (1+x)(1-x)^(10)(1+x+x^(2))^(9) is

Find the sum of the coefficients of x^(32) and x^(-18) in the expansion of (2x^(3)-(3)/(x^(2)))^(14) .

Coefficient of a^8b^6c^4 in (a+b+c)^18 is

In a binomial expansion (x+y)^n gretest term means numericaly greatest term and therefore greatest term in (x-y)^n and (x+y)^n are ame. I frth therm t_r be the greatest term in the expansion of (x+y)^n whose therms are all ositive, then t_rget_(r+1) and t_rget_=(r-1)i.e. t_r/t_mge1 and t_r/t_(r-)ge1 ON the basis of above information answer the following question: Greatest term in the expansion of (2+3x0^10, whern x= 3/5 is (A) ^10C_5(18/5)^5 (B) ^10C_6(18/5)^6 (C) ^10C_4(18/5)^4 (D) none of these

Let f(x)=e^(cos^(-1){sin(x+pi/3)}) Then, f((8pi)/9)= (a) e^(5pi//18) (b) e^(13pi//18) (c) e^(-2pi//18) (d) none of these

Let f(x)=e^cos^((-1)){sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) (b) e^(13pi//18) (c) e^(-2pi//18) (d) none of these