In how many different ways can the word "football" be rearranged such that all of the vowels are put together?
The vowels "ooa" can be arranged in 3 identifiable ways
And they can appear in 6 possible places within our created "words"
And for each of these, the other letters can be arranged in ( 5! / 2 ) identifiable ways = 60 ways
So....the number of ways =
3 * 6 * 60 =
18 * 60 =
1080 ways