The question is asking how many ways can ten team be randomly assigned to 5 games. They can be randomly assigned in nPrC r = n!/( n-r)! ways. So we have that 10 teams can be randomly assigned to five games in 10C5 ways. 10C5 = 10!/ (10-5)! = 10!/ 5! = 30240 ways. So they can be arranged in 30240 ways.