Question
Download Solution PDFIn how many ways can the letters of the word DRAUGHT be arranged, if the vowels are always kept together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
The word 'DRAUGHT' has 7 different letters.
When the vowels AU are kept together, they can be supposed to form one letter.
Then, we have to arrange the letters DRGHT (AU).
Now, 6 (5 + 1 = 6) letters can be arranged in 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720 ways
The vowels (AU) can be arranged among themselves in 2! = 2 × 1 = 2 ways
∴ Required number of ways = 720 × 2 ⇒ 1440
Last updated on Jun 19, 2025
-> The UP Police Sub Inspector 2025 Notification will be released by the end of June 2025 for 4543 vacancies.
-> A total of 35 Lakh applications are expected this year for the UP Police vacancies..
-> The recruitment is also ongoing for 268 vacancies of Sub Inspector (Confidential) under the 2023-24 cycle.
-> The pay Scale for the post ranges from Pay Band 9300 - 34800.
-> Graduates between 21 to 28 years of age are eligible for this post. The selection process includes a written exam, document verification & Physical Standards Test, and computer typing test & stenography test.
-> Assam Police Constable Admit Card 2025 has been released.