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The number of terms in the expansion of $(2 x + 3 y - 4 z)^{n},$ is

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n+1

n+3

(n+1)(n+2)2

none of these

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detailed solution

Correct option is C

Total number of terms in the expansion of (2x+3y−4z)n, is n+3−1C3−1=n+2C2=(n+2)(n+1)2

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The number of terms in the expansion of (2x+3y−4z)n, is

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The number of terms in the expansion of $(2 x + 3 y - 4 z)^{n},$ is