Form a seven-letter word by mixing up the letters in the word FIXTURE.How many ways can you do this if no vowel is isolated between two consonants?
Accepted Solution
A:
There are 4 consonants and 3 vowels. If the vowels can't be isolated between two consonants then the vowels would have to be right next to each other. Let's consider the vowels as a group so that they can be arranged in 3!=6 ways and the consonants 4!=24 ways. So: 6x24=144ways