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

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12063600

13063680

11063600

None of these above

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Correct option is B

The general term in the expansion of (2x−3y+4z)9=9!α1!α2!α3!⋅(2x)α1(−3y)α2(4z)α3=9!α1!α2!α3!⋅2α1(−3)α24α3⋅xα1yα2zα3∴ Coefficient of x3y4z2=9!3!4!2!⋅23(−3)4⋅42 [Taking α1=3,α2=4,α3=2 ] =1260×10368=13063680

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The coefficient of x3y4z2 in the expansion of (2x−3y+4z)9 is

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