In the expansion of $(1 + x + y + z)^4$ the ratio of coefficient of $x^2y, xy^2z, xyz$ are
$1 : 1 : 2$
$2 : 1 : 1$
$1 : 2 : 1$
Not defined
Find the value of $\left(a^{2}+\sqrt{a^{2}-1}\right)^{4}+\left(a^{2}-\sqrt{a^{2}-1}\right)^{4}$
Middle term in the expansion of ${(1 + 3x + 3{x^2} + {x^3})^6}$ is
If some three consecutive in the binomial expansion of ${\left( {x + 1} \right)^n}$ in powers of $x$ are in the ratio $2 : 15 : 70$, then the average of these three coefficient is
The term independent of $x$ in the expansion of ${\left( {{x^2} - \frac{{3\sqrt 3 }}{{{x^3}}}} \right)^{10}}$ is
Sum of co-efficients of terms of degree $m$ in the expansion of $(1 + x)^n(1 + y)^n(1 + z)^n$ is