Question

Sum of the Binomial coefficients of the expansion of ${(\frac{x}{y}+\frac{y}{x})}^4$ is

• A. $6$
• B. $16$
• C. $4$
• D. $32$

Answer 1

The correct option is B $16$

Since, exponent is $4$,
$\therefore$ sum of coefficients $=C(4,0)+C(4,1)+C(4,2)+C(4,3)+C(4,4)$
$=1+4+6+4+1$
$=16$
Option $B$ is correct.