Question

In how many different ways can the letters of the word 'DESIGN' be arranged so that the vowels are at the two ends?

• A. 48
• B. 72
• C. 36
• D. 24
• E. None of these

Answer 1

The correct option is A 48

The word DESIGN consists of 6 distinct letters.
According to the question,
E . . . . . . . . I
I . . . . . . . . . . E
$\therefore$ Required number of arrangements
$=2!\times 4!=2\times 4\times 3\times 2=48$