The coefficient of `a^3b^4c` in the expansion of `(1+a-b+c)^9` is equal to

Find a if the coefficients of x^2 and x^3 in the expansion of (3 + ax)^9 are equal.

If the coefficient of 4th term in the expansion of (a+b)^n is 56, then n is

The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b. 0 c. ^30 C_6 d. ^30 C_3

The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. 496 c. 506 d. 528

If the magnitude of the coefficient of x^(7) in the expansion of (ax^(2)+(1)/(bx))^(8) , where a, b are positive numbers, is equal to the magnitude of the coefficient of x^(-7) in the expansion of (ax-(1)/(bx^(2)))^(8) , then a and b are connected by the relation

Find the expansion: tan (A + B - C)

Find the expansion: sin (A - B + C)

If the coefficients of x^3 and x^4 in the expansion of (1""+a x+b x^2)""(1-2x)^(18) in powers of x are both zero, then (a, b) is equal to (1) (16 ,(251)/3) (3) (14 ,(251)/3) (2) (14 ,(272)/3) (4) (16 ,(272)/3)

If the sum of the coefficients in the expansion of (a+b)^n is 4096, then the greatest coefficient in the expansion is a. 924 b. 792 c. 1594 d. none of these

If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa and if the sum of the coefficients in the expansion of (1+x^2)^n is b , then a. a=3b b. a=b^3 c. b=a^3 d. none of these