Question

In how many different ways, the letters of the word 'RECTITUDE' can be arranged so that vowels come together?

• A. 4302
• B. 7200
• C. 4320
• D. 4430
• E. None of these

Answer 1

The correct option is C 4320

The word 'RECTITUDE' has 9 letters in which RCTTD are consonants and EIUE are vowels and T and E come twice.
On keeping vowels, we get RCTTD (EEIU)
$\therefore$ Number of arrangements $=\frac{6!\times 4!}{2!\times 2!}$
$=6\times 5\times 4\times 3\times 2\times 3\times 2$
= 4320