There are five questions below,
A circus magician has a "magic box " that has exactly six chambers designed to hold at least two animals each. There are five trained animals—a frog, a hen, a mouse, a para- keet, and a rabbit. On the front of the box, chambers 1, 2, and 3 are arranged in a straight line so that chamber 1 is directly adjacent to chamber 2, and chamber 2 is directly adjacent to chamber 3. On the back of the box, the cham- bers are also arranged in a straight line with chamber 4 directly adjacent to chamber 5, and chamber 5 directly adjacent to chamber 6. No chamber in the front of the box is directly adjacent to a chamber in the back.
When working with the animals, the magician must obey the following restrictions:
None of the chambers can contain more than two animals at the same time.
The mouse cannot be in the same chamber as any other animal, and any chamber directly adjacent to the chamber that the mouse occupies must remain empty.
Neither the hen nor the frog can be in the same chamber as the parakeet.
{{*HTML*}}If no chamber contains more than one animal and each of the five animals is in a chamber, then there is a total of how many different chambers any one of which could be the chamber that contains the mouse?