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The homework for English class was to write a poem. The teacher wants to ask $4$ students, $2$ boys and $2$ girls, to read their poems for the class. If there are $10$ boys and $15$ girls, how many different combinations of $2$ boys and $2$ girls can the teacher select?$\newline$$\left[\frac{\binom{2}{10}\cdot\binom{2}{15}}{\binom{4}{25}}\right]$, $\frac{2!\cdot 2!}{10!\cdot 8!}\cdot\frac{2\times}{18!18!}\cdot\frac{25!\cdot 24!\cdot 21\cdot 20}{12!\cdot 4!}$