A box contains $3$ identical green balls and $7$ identical blue balls. Two balls are randomly drawn without replacement from the box. The probability of drawing $1$ green and $1$ blue ball is
- $\frac{{ }^{3} \mathrm{P}_{1} \times{ }^{7} \mathrm{P}_{1}}{{ }^{10} \mathrm{P}_{2}}$
- $\frac{{ }^{10} \mathrm{P}_{3} \times{ }^{10} \mathrm{P}_{7}}{{ }^{10} \mathrm{P}_{2}}$
- $\frac{{ }^{10} \mathrm{C}_{3} \times{ }^{10} \mathrm{C}_{7}}{{ }^{10} \mathrm{C}_{2}}$
- $\frac{{ }^{3} \mathrm{C}_{1} \times{ }^{7} \mathrm{C}_{1}}{{ }^{10} \mathrm{C}_{2}}$