Acme Corporation has released an alphabet soup in which each of the vowels (A, E, I, O, U) of the English alphabet appears three times (and the consonants do not appear at all). How many five-letter words can be formed from a bowl of Acme Vowel Soup? (Note: The words do not have to be actual words in English!)
Since you only have 5 letters, then the number of 5-letter "words" is simply 5! = 120 "words". This is on the condition that 5 letters cannot be repeated. But, since you have a bowl of 5 letters repeated over and over, then the number of 5-letter "words" will be: 5^5 =3,125 possible "words".