Question

How many words can be formed from the letters of the word ‘MENTOR’ so that the vowes are never together?

• A. 120
• B. 240
• C. 480
• D. 720

Answer 1

The correct option is C 480

The given word contains 6 different letters
Taking the vowels EO together, we treat them as one letter.
Then, the letters to be arranged are MNTR(EO).
These letters can be arranged in 5! = 120 ways.
The vowels EO may be arranged in 2! Ways amongst themselves.
Number of words, each having vowels together $=120\times 2=240.$
Total number of words formed by using all the letters of the given words = 6! = 720
Therefore, the number of words using all the letters of the given words = 720 – 240 = 480