Subject
Quantitative Aptitude
Topic
Permutation & Combination
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
ক)
120খ)
720গ)
4320ঘ)
2160Explanation
The word 'OPTICAL' contains 7 different letters. When the vowels OIA are always together, they can be supposed to form one letter. Then, we have to arrange the letters PTCL (OIA). Now, 5 letters can be arranged in 5! = 120 ways. The vowels (OIA) can be arranged among themselves in 3! = 6 ways. Required number of ways = (120 x 6) = 720.Related questions
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