Question 77
Calculate the number of the arrangements of 5 girls $G_1$, $G_2$, $G_3$, $G_4$ and $G_5$ and 12 boys in a row satisfying the following conditions:
1. The order of the girls from left to right is $G_1$, $G_2$, $G_3$, $G_4$ and $G_5$.
2. There are at least 3 boys between $G_1$ and $G_2$.
3. There are at least 1 boy and at most 4 boys between $G_4$ and $G_5$.
1. The order of the girls from left to right is $G_1$, $G_2$, $G_3$, $G_4$ and $G_5$.
2. There are at least 3 boys between $G_1$ and $G_2$.
3. There are at least 1 boy and at most 4 boys between $G_4$ and $G_5$.