5. [12 pts] At Tahani and Jianyu's (actually Jason, of course) first public event at their mansion, there are 10 round tables with numbers 1 through 10. Each event table has 12 seats. There are 60 pairs of soulmates coming to the event. In how many ways can Tahani seat the residents if her only restriction is that soulmates have to sit at the same event table? Note that the soulmates are not required to sit next to each other at the table