There are ten boys B_1, B_2, …, B_10 and five girls G_1, G_2, …, G_5 in a class. Then the number of ways of forming a group consisting of three boys…

There are ten boys $\displaystyle \mathrm{B}_1, \mathrm{~B}_2, \ldots, \mathrm{~B}_{10}$ and five girls $\displaystyle \mathrm{G}_1, \mathrm{G}_2, \ldots, \mathrm{G}_5$ in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both $\displaystyle \mathrm{B}_1$ and $\displaystyle \mathrm{B}_2$ together should not be the members of a group, is \_\_\_\_.