5. Now arrange for 7 students to participate in 5 sports events, requiring that students A and B cannot participate in the same event, each event must have participants, and each person can only participate in one event. The number of different arrangements that meet the above requirements is $\qquad$ (answer in numbers).

安排 7 名同学去参加 5 个运动项目 -> Arrange for 7 students to participate in 5 sports events
要求甲、乙两同学不能参加同一个项目 -> Requiring that students A and B cannot participate in the same event
每个项目都有人参加 -> Each event must have participants
每人只参加一个项目 -> Each person can only participate in one event
则满足上述要求的不同安排方案数为 $\qquad$ (用数字作答) -> The number of different arrangements that meet the above requirements is $\qquad$ (answer in numbers)
5. 15000 .

According to the problem, there are two scenarios that meet the conditions:
(1) One project has 3 participants, with a total of
$$
C_{7}^{3} \times 5! - C_{5}^{1} \times 5! = 3600
$$

schemes;
(2) Two projects each have 2 participants, with a total of
$$
\frac{1}{2}\left(\mathrm{C}_{7}^{2} \mathrm{C}_{5}^{2}\right) \times 5! - \mathrm{C}_{5}^{2} \times 5! = 11400
$$

schemes.
Therefore, the total number of schemes is
$$
3600 + 11400 = 15000 .
$$