(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 (answer in numbers)
(5) 15000 Hint: From the given conditions, there are two scenarios that satisfy the conditions:
(1) One project has 3 participants, with a total of $\mathrm{C}_{7}^{3} \cdot 5!-\mathrm{C}_{5}^{1} \cdot 5!=3600$ schemes;
(2) Two projects each have 2 participants, with a total of $\frac{1}{2}\left(\mathrm{C}_{7}^{2} \cdot \mathrm{C}_{5}^{2}\right) \cdot 5!-\mathrm{C}_{5}^{2} \cdot 5!=$ 11400 schemes;
Therefore, the number of schemes that meet the requirements is $3600+11400=15000$.