Could someone please help me, i left my homeowrk to the last minute and it due tomorrow. I don't understand how to complete the question? Even if you could just help with some of the question please. Im in applied math 30, and its the probability unit, about the fundamental counting principle.

Thx, ahead.

QUESTION

Consider the lettersof the word HEXAGON

a) How many ways can the vowels of the word be arranged using all the vowels?

b) How many arrangements of the word begain with a vowel?

c) How many 3-letter "words" can be made if every "word" must have the pattern constant-vowel-constant and if the letters can be repeated?