- #1
wScott
- 88
- 0
Homework Statement
Given the letters of the word ELEMENTS, how many 5 letter "words" can be found in which vowels and consonants alternate
Homework Equations
The Attempt at a Solution
I see the need to use Cases here because the pattern can either go:
v c v c v
or
c v c v c
So I did:
Case 1 : vowel starts 3 5 2 4 1 = 120
Case 2: consonant starts 5 3 4 2 3 = 360
Add them up to get 480, however the answer says 80. What went wrong? Or was that a typo mistake?