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Previous Year Question (PYQs)
2
The coefficient of $x^2y^3z^2$ in the expansion of $(x+y+z)^7$ is
Solution
In $(x+y+z)^7$, the general coefficient of $x^ay^bz^c$ is
$\frac{7!}{a!b!c!}$
Here,
$a=2,\ b=3,\ c=2$
So, coefficient is
$\frac{7!}{2!3!2!}$
$=C(7,2)\times C(5,3)$
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