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  4. The coefficient of the x2 y3 z2 term in the expansion of (x+y+2 z)7, is

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Q. The coefficient of the $x^2 y^3 z^2$ term in the expansion of $(x+y+2 z)^7$, is

Binomial Theorem

Solution:

Required coefficient is $\frac{4 \cdot 7 !}{2 ! \cdot 3 ! \cdot 2 !}=\frac{4 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{24}=4 \times 210=840$