Question

In the opening credits of each episode of

the TV show Fawlty Towers, the sign on the
front of the hotel rearranged the letters in
the hotel's name.

a) How many arrangements are there of all
the letters in FAWLTY TOWERS?

b) How many arrangements of these letters
are possible if the A, Y, O, and E must
remain in their original order?

Answer 1

And how are suppose to answer this without the show to provide us with the information?