Binomial Theorem And Its Simple Applications Question 179

Question: The sum of coefficients in the expansion of $ {{(x+2y+3z)}^{8}} $ is

[RPET 2000]

Options:

A) $ 3^{8} $

B) $ 5^{8} $

C) $ 6^{8} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Sum of the coefficients is obtained by putting $ x=y=z=1, $

so sum of the coefficients $ ={{\text{(1 }+\text{ 2 }+\text{ 3)}}^{8}}={6^{8}} $ .