+295 How many 4-letter words with at least one vowel can be constructed from the letters A, B, C, D, and E? (Note that A and E are vowels, any word is valid, not just English language words, and letters may be used more than once.)
+397 There are \(5\) letters to choose from and \(4\) letters make up a word. We can get the permutation 5P4 = \(120\).
- Daisy
+118609 How many 4-letter words with at least one vowel can be constructed from the letters A, B, C, D, and E? (Note that A and E are vowels, any word is valid, not just English language words, and letters may be used more than once.)
Daisy's answer would be correct if the letters could only be used once.
How many 4 letter words can be constructed from ABCDE that would be 5^4 = 625
How many 4 letter words can be constructed using BCD that would be 3^4 = 81
So the number of words that use at least one vowel would be 5^4 - 3^4 = 625-81 = 544
