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 (x−2y+3z)n is 45, then n=
A
7
B
8
C
9
D
None of these
Answer
8
Explanation
Solution
Given, total number of terms = 2(n+1)(n+2)=45
⇒ (n+1)(n+2)=90 ⇒ n=8.