Permutation And Combination Ques 13
Question-
In how many different ways can the letters of the word ‘THERAPY’ be arranged so that the vowels never come together?
(1) 720
(2) 1440
(3) 5040
(5) 4800
(4) 3600
(IBPS Bank PO/MT CWE 17.06.2012)
Show Answer
Correct Answer: (4)
Solution: (4)
The word THERAPY consists of 7 distinct letters in which $E, A$ are two vowels.
We get THRPY (EA) keeping EA together as single entity.
Number of permutations when vowels are together $=6 ! \times 2 !=1440$
$\therefore$ Required number of arrangements $=7 !-1440$ $=5040-1440=3600$
BETA
