Direction: Find the number of permutations that can be made from the letters of the word 'OMEGA'.
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Vowels being never together.
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- 36 ways
- 84 ways
- 120 ways
- 10 ways
- None of the above
Correct Option: B
Total number of words = 5! = 120
combining the vowels at one place(OEA) with remaining 2 letters MG, letters can be arranged in 3! ways. Also, three vowels can be arranged in 3! ways
So, when vowels are together, then number of words = 3! x 3! = 36
there4; Required number of ways, when vowels being never together =120 - 36 = 84
