(a) Find how many arrangements there are of the letters of the word GUMTREE if the G is somewhere between the two Es?
(b) Find how many arrangements there are of the letters of the word GUMTREE if the G is somewhere to the left of the U and the M is somewhere to the right of the U.
(c) Find how many arrangements there are of the letters of the word GUMTREE if the M is somewhere to the left of both Es and the U is somewhere between them.