Edit: We have 100 people and 5 distinct tables (t1,t2,t3,t4,t5) from which they can sit. I'm trying to find the number of ways which they can be seated. Note that a table can be left empty so we can have 100 people on the first table.
I've been trying to answer this one out but I feel like I'm not going in the right direction. I know about circular permutation so my first thought was for each table you have 99! ways of sitting them. So I thought well you can seat them 99! ways at first table or 99! ways at second, etc. so it would end up as 5*99! because there is 5 table. But that doesn't make sense to me...
Now each person can sit on any table of the five, so that is $5^{100}$ ways.