Answer
$\left(\begin{array}{l} 10\\ 5 \end{array}\right)=252$
Work Step by Step
We evaluate:
$\left(\begin{array}{l} 10\\ 5 \end{array}\right)=\frac{10!}{5!5!}=\frac{10*9*8*7*6*5!}{5!*5*4*3*2*1}=\frac{10*9*8*7*6}{5*4*3*2}=\frac{30240}{120}=252$