Question 1205501
To express a permutation as a product of disjoint cycles, we follow these steps:

1. **Start with an element:** Choose any element, say 1.
2. **Trace its cycle:** Follow the permutation to see where 1 goes. 1 goes to 2, 2 goes to 8, 8 goes to 7, 7 goes to 1. So, we have the cycle (1 2 8 7).
3. **Choose an unused element:** Choose an element not in the previous cycle, say 3.
4. **Trace its cycle:** 3 goes to 6, 6 goes to 5, 5 goes to 4, 4 goes to 3. So, we have the cycle (3 6 5 4).

Since all elements are now included in cycles, we have expressed the permutation as a product of disjoint cycles: 

**(1 2 8 7)(3 6 5 4)**