Help with Combination Question

[Danneo]

In how many ways would 11 people occupy seats at two circular tables, where one 2
table can accommodate 6 people and the other 5 people?

THX

[pikachu975]

In how many ways would 11 people occupy seats at two circular tables, where one 2
table can accommodate 6 people and the other 5 people?

THX

I think:

11C6 x 5C5 x 5! x 4!

Basically 11C6 to pick 6 to sit on first table, then 5C5 to sit on the second table, then 5! to arrange 6 people on one table then 4! to arrange on the second table.