In a group of 3 girls and 4 boys, there are two boys B_1 and B_2. The number of ways, in which these girls and boys can stand in a queue such that…

In a group of $\displaystyle 3$ girls and $\displaystyle 4$ boys, there are two boys $\displaystyle \mathrm{B}_1$ and $\displaystyle \mathrm{B}_2$. The number of ways, in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but $\displaystyle \mathrm{B}_1$ and $\displaystyle \mathrm{B}_2$ are not adjacent to each other, is :