Binomial Theorem And Its Simple Applications Question 175
Question: If number of terms in the expansion of $ {{(x-2y+3z)}^{n}} $ is 45, then n=
Options:
A) 7
B) 8
C) 9
D) $ 6^{10} $
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] No. of terms in the expansion $ {{=}^{n+3-1}}{C_{3-1}} $
$ \therefore ,{{,}^{n+2}}C_2=45\Rightarrow n=8 $