\[{\overline{C}\ }_{4}^{7} = \frac{(7 + 4 - 1)!}{7!(4 - 1)!} = \frac{10!}{7! \bullet 3!} =\]
\[= \frac{10 \bullet 9 \bullet 8 \bullet 7!}{7! \bullet 3 \bullet 2} = 5 \bullet 3 \bullet 8 =\]
\[= 120\ способов.\]
\[Ответ:\ \ 120.\]