LIC AAO 12 May 2013 Paper

Question : 51 of 160

Marks: +1, -0

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

4302
7200
4320
4430
None of these

Solution:

The word RECTITUDE has 9 letters in which RCTTD are consonants and EIUE are vowels and T and E come twice. We have to arrange RCTTD (EEIU)
∴ Number of arrangements
=

{6!×4!}/{2!×2!}

= 6x5x4x3x2x3x2
= 4320

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