If number of terms in the expansion of $(x - 2 y + 3 z)^{n}$ are 45, then n =

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Solution

The correct option is B
8

$\frac{(n + 1) (n + 2)}{2}$ = 45 or $n^{2}$ + 3n - 88 = 0 $\Rightarrow$ n = 8 .

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