Consider the Permutations of the word SUCCESSFUL ?

a) How many permutations total?

b)How many have the 3 vowels adjacent (such as SUUESSFCLC)?

c)How many permuations have none of the 3 vowels adjacent?

d)How many permutations start with an S and end with an L?

e)How many permutations have a consonant as the first letter?