Question 2. In the vacuum cleaner world that is described in the textbook, with one vacuum cleaner and some dirty cells, there are 8 different states in the simple two-cell version and n.2" different states for the n-cell version. How many different states in the following cases where some of the cells may be dirty: a) One vacuum cleaner in an area with n by n cells. b) Two identical vacuum cleaners in an area with n by n cells such that each cell can have a maximum of one vacuum cleaner at any given time. Question 2. In the vacuum cleaner world that is described in the textbook, with one vacuum cleaner and some dirty cells, there are 8 different states in the simple two-cell version and n.2" different states for the n-cell version. How many different states in the following cases where some of the cells may be dirty: a) One vacuum cleaner in an area with n by n cells. b) Two identical vacuum cleaners in an area with n by n cells such that each cell can have a maximum of one vacuum cleaner at any given time