Question

The number of terms in the expansion of $(x+y+z{)}^{10}$ is

• A. 11
• B. 33
• C. 66
• D. None

Answer 1

The correct option is C

66

Number of terms in the expansion of $(x_1+x_2+..+x_r{)}^{n}is{}^{n+r-1}{C}_n$.
$\Rightarrow$ Number of terms in $(x+y+z{)}^{10}={}^{12}{C}_{10}=66$.