Question 16.
In how many ways can the letters of the word MOBILE be arranged so that vowels occupy
odd places?
6!
4! 3!
( 3! 3!
2! 3! 3!
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Answer:
No. Of ways in which at least two consonants are together= total arrangements - arrangements in which two consonants are never together.
Total arrangements=6! =720
Consonants are never together= 3! ×4! =6×24=144
No. Of ways in which atleast two consonants are together=720–144=576
Answered by
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Answer:
The word 'MOBILE' has three even places and three odd places. It has 3 consonants and 3 vowels. In three odd places we have to fix up 3 consonants, which can be done in 3P3 ways. Now in the remaining three places we have to fix up the remaining three vowels, which can be done in 3P3 ways.
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