In how many different ways the letters of word ‘FINANCE’ can be arranged? So that the consonants always come together?
Solution
Total number of letters = 7, Vowels – I,A,E, consonants – F, N, N, C but N has come twice.
So, required number of arrangements
$ = \dfrac {4!}{2!} \times 4! = 12 \times 24 = 288$