\[\boxed{\mathbf{175.}}\]
\[\textbf{а)}\ C_{6}^{3} = \frac{6!}{3!3!} = \frac{4 \cdot 5 \cdot 6}{2 \cdot 3} = 20.\]
\[\textbf{б)}\ C_{9}^{4} = \frac{9!}{4!5!} = \frac{6 \cdot 7 \cdot 8 \cdot 9}{2 \cdot 3 \cdot 4} =\]
\[= 7 \cdot 2 \cdot 9 = 14 \cdot 9 = 126.\]