Suppose the sample space S consists of all five-letter words having distinct alphabetic characters. For this question, each alphabetic character is used only once in a word. Explain the procedures of your steps.

a) How many "special" words are in S for which only the second and the fourth character are vowels, i.e., one of {a, e, i, o, u} (since y can be a vowel or a consonant, we'll consider it to be a consonant), while the remaining characters are consonants?

b) How many "special" words are in S for which only the second and the fourth character are vowels, i.e., one of {a, e, i, o, u} (since y can be a vowel or a consonant, we'll consider it to be a consonant), while the remaining characters are consonants?