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 $