【Example 5】 6 boys and 4 girls are to serve as attendants on 5 buses, with two people per bus. Assuming boys and girls are separated, and the buses are distinguishable, how many ways are there to assign them?
Solution 1 First, choose 3 cars out of 5 to be served by boys, which can be done in $C_{5}^{3}$ ways; then allocate 6 boys to these cars and 4 girls to the remaining two cars, which are both multiple combination problems, resulting in

different allocation methods.
Solution 2 First, pair up the 6 boys into three 2-person teams and the 4 girls into two 2-person teams, and then allocate these five teams to the five cars, which involves a full permutation process, so there are
$$
\frac{6!}{2!\cdot 2!\cdot 2!} \cdot \frac{1}{3!} \cdot \frac{4!}{2!\cdot 2!} \cdot \frac{1}{2!} \cdot 5!=5400
$$

different allocation methods.