Permutation And Combination Ques 16

Question-

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

(1) 240

(2) 120

(3) 320

(4) 720

(5) None of these

(Indian Overseas Bank PO Online Exam. 01.09.2013)

Show Answer

Correct Answer: (1)

Solution: (1)

The word SACRED consists of 4 consonants (SCRD) and two vowels (AE). On keeping vowels together we get SCRD(AE).

$\therefore$ Number of arrangements $=5 ! \times 2 !$ $=5 \times 4 \times 3 \times 2 \times 1 \times 1 \times 2$ $=240$