Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: · Marks: · Difficulty:
In how many different ways can the letters of the word JUDGE be arranged in such a way that the vowels always come together?
(a)48
(b)120
(c)124
(d)160
(e)None of these
Answer
Answer (as printed): A
Explanation
The given word contains 5 different letters. Keeping the vowels UE together, we suppose them as 1 letter. Then, we have to arrange the letters JDG(UE). Now, 4 letters can be arranged in 4 = 24 ways. The vowels (UE) can be arranged among themselves in 2 ways. ∴ Required no. of ways = (24 × 2) = 48.
Explanation as extracted from the printed page; notation may be imperfect.