If number of terms in the expansion of -x - 2y - 3z-n are 45- then n - 7-8-9-None of these-

The correct option is B 8 (n+1)(n+2)/2 = 45 or n^2 + 3n 88 = 0 ⇒ n = 8 . ...

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Standard XI

Mathematics

Sum of binomial coefficients of odd numbered terms

If number of ...

Question

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

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None of these

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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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If number of terms in the expansion of (x−2y+3z)n are 45, then n =

The correct option is B 8 (n+1)(n+2)2 = 45 or n2 + 3n - 88 = 0 ⇒ n = 8 .

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

The correct option is B
8

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