Coefficient of `x^(a)y^(b)z^(c)` in the expansion of `(2x-y+3z)^(13)` ,where a,b ,c are three distinct terms of a GP can be

The coefficient of x^(2)y^(5)z^(3) in the expansion of (2x+y+3z)^(10) is

The coefficient of x^(2)y^(4)z^(2) in the expansion of (2x-3y+4z)^(9) is

Find the coefficient of x^2 y^3 z^4 in the expansion of (ax -by +cx)^9 (b) a^2 b^3 c^4 d in the expansion of (a -b-c +d)^10

Statement-1: The coefficient of a^(3)b^(4)c^(3) in the expansion of (a-b+c)^(10) is (10!)/(3!4!3!) Statement-2: The coefficient of x^(p)y^(p)z^(r) in the expansion of (x+y+z)^(n) is (n!)/(p!q!r!) for all integer n.

In the expansion of (3x+2y-z)^(8) , the coefficients of x^(2)y^(3)z^(3) is

If a^(x)=b, b^(y)=c,c^(z)=a, prove that xyz = 1 where a,b,c are distinct numbers

Find the number of distinct terms in the expansion of (x + y + z + u)^(10) . (where x, y, z and u are independent variable)

For an isotropic solid,if alpha_(x) , alpha_(y) , alpha_(z) represent the mean coefficient of linear expansion along three mutually perpendicular directions then coefficient of volumetric expansion can be written as, A) sqrt(alpha_(x)alpha_(y)alpha_(z)) B) alpha_(x)+alpha_(y)+alpha_(z) C) alpha_(x)alpha_(y)+alpha_(y)alpha_(z)+alpha_(z)alpha_(x) D) alpha_(x)alpha_(y)alpha_(z)

If x^(a)=y^(b)=c^(c), where a,b,c are unequal positive numbers and x,y,z are in GP,then a^(3)+c^(3) is :

Q.if x(y)/(x+y)=a,x(z)/(x+z)=b and y(z)/(y+z)=c, where a ,b and c are other than zero then x equals