In how many different ways the letters of word ‘FINANCE’ can be arranged? So that the consonants always come together?
288
240
144
120
None of these
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$