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Question

Question: If the number of terms in the expansion of \((x - 2y + 3z)^{n}\) is 45, then \(n =\)...

If the number of terms in the expansion of (x2y+3z)n(x - 2y + 3z)^{n} is 45, then n=n =

A

7

B

8

C

9

D

None of these

Answer

8

Explanation

Solution

Given, total number of terms = (n+1)(n+2)2=45\frac{(n + 1)(n + 2)}{2} = 45

(n+1)(n+2)=90(n + 1)(n + 2) = 90n=8n = 8.