Question

The letters forming the word Clifton are placed at random in a row$:$ what is the chance that the two vowels come together$?$

Answer 1

Clifton contains two vowels (i,o)
Keep those vowels together clftn (i,o)
Total no. of letters now $=6$
Total no. of outcomes $=7!$
Favorable outcomes $=6!2!$
Chance that two vowel come together
$=\frac{6!2!}{7!}$