Question

Aptitude Question Based on Permutation and Combination
In how many ways can the letters of the word 'DIRECTOR' be arranged so that the three vowels are never come together?

Answer 1

google...!!! search answer frm google... its just waste of tym asking questions here...!! 

Answer 2

Total number of ways in which all the letters can be arranged= 8! = 40320 DIRECTOR has 3 vowels which can be put together and considered as one letter. So DRCTR(IEO) is a total of 6 letters. These 6 letters can be arranged in 6! = 720 ways. IEO can be arranged among themselves in 3! ways= 6 ways. Hence total number of ways in which the letters can be arranged such that ALL THE VOWELS ARE ALWAYS TOGETHER= 4320 Therefore, number of ways in which DIRECTOR can be arranged such that no vowel appear together= 40320-4320= 36000 ways. So total number of ways