Binomial Theorem And Its Simple Applications Question 154

Question: If the coefficient of $ {{(2r+4)}^{th}} $ and $ {{(r-2)}^{th}} $ terms in the expansion of $ {{(1+x)}^{18}} $ are equal, then r=

[MP PET 1997; Pb. CET 2001]

Options:

A) 12

B) 10

C) 8

D) 6

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ ^{18}{C_{2r+3}}{{=}^{18}}{C_{r-3}},\Rightarrow 2r+3+r-3=18\Rightarrow r=6 $