In how many different ways can the letters of the word ‘DAUGHTER’ be arranged so that the vowels always come… · ABC26GN5276
Subject: General Aptitude · Chapter: Permutations and Combinations
In how many different ways can the letters of the word ‘DAUGHTER’ be arranged so that the vowels always come together?
Answer
No answer key was printed for this question.
Explanation
The given word contains 8 different letters. When the vowels AUE are taken together, we may treat them as 1 letter. Then, the letters to be arranged are DGHTR (AUE) The vowels can be arranged in 6P6 = 6 = 720 ways. The vowels AUE may be arranged in 3 = 6 ways. Required number of ways = (720 × 6) = 4320 ways. PERMUTATIONS AND COMBINATIONS 843
Explanation as extracted from the printed page; notation may be imperfect.