Question

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

Answer 1

When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.