FOOTBALL arrangement
Probability
Level
2
In how many different ways can the word "football" be rearranged such that all of the vowels are put together?
The answer is 1080.
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1 solution
Group the vowels into 1 unit. (3 ways of doing that)
Hence the units we have to arrange are (vowel unit), f, t, b, l, l = 6 units, out of which two are similar.
Number of ways to arrange = 2 ! 6 !
Finally multiply it by 3 to get the answer as 1080.