In how many different ways can the letters of the word ‘DESIGN’ be arranged so that the vowels are at the two… · ABC26GN5275
Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: Bank P.O. 2009
In how many different ways can the letters of the word ‘DESIGN’ be arranged so that the vowels are at the two ends?
Answer
No answer key was printed for this question.
Explanation
The given word 'DESIGN' contains 4 consonants and 2 vowels. At the two ends the two vowels can be arranged in 2 ways. Remaining 4 letters can be arranged in $4!=(4 \times 3 \times 2 \times 1)=24$ ways. Total number of ways $=(24 \times 2)=48$. $\therefore$ Required number of ways $=48$.
Explanation as extracted from the printed page; notation may be imperfect.