Not totally sure if I'm understanding the questions correctly:
Consider the permutations of the set of 26 letters of the English alphabet
- How many total permutations are possible? P(26,26)=26!
- How many permutations begin with a? P(26,25)
- How many permutations begin with z and end with a? P(26,24)
- How many permutations begin with the 5 vowels (in any order), which are followed by the remaining consonants (in any order)? I have no idea.