You can help us to improve by giving your valuable suggestions atBy using the service of this site, I agree that I will serve wholeheartedly and will not indulge in any sort of activity that threats the integrity of the organisation I am working for / I work for. Knowledge is the power, Dont miss any paper, Subscribe to usAnswer & Explanation Answer: Option D Explanation: The word 'SIGNATURE' contains 9 different letters. When the vowels IAUE are taken together, they can be supposed to form an entity, treated as one letter. Then, the letters to be arranged are SGNTR (IAUE). These 6 letters can be arranged in 6P6 = 6 ! = 720 ways. The vowels in the group (IAUE) can be arranged amongst themselves in 4P4 = 4 ! = 24 ways. $$\therefore$$ Required number of words = (720 * 24) = 17280. |