P&C

in how many ways can the letters of the word CINEMA be arranged so that the order of vowels do not change

2 Answers

2305

Shaswata Roy ·2013-03-19 21:53:53

There are 6! ways to arrange the letters of the word CINEMA.

There are 3! ways to arrange only the vowels (A,E,I).

However out of these 3! ways only 1 is arranged in the order IEA.

Hence we must divide 6! by 3! to get the required result.

Answer = 6!3!=120

UP 2 DOWN 5
Swarna Kamal Dhyawala thanks shaswata ...plzz try the other question also
Upvote·0· Reply ·2013-03-19 22:08:27
Dwijaraj Paul Chowdhury @Roy remember? a similar question came in our skul xams :-P
Upvote·0· Reply ·2013-03-20 03:28:52
Shaswata Roy @Dwijaraj:Yeah...It was then dat I 1st realized how 2 solve such a question.
Upvote·0· Reply ·2013-03-20 03:54:17
Dwijaraj Paul Chowdhury :-)
Upvote·0· Reply ·2013-03-21 01:20:51
Dwijaraj Paul Chowdhury me too :-P
Upvote·0· Reply ·2013-03-21 01:21:19
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996

Swarna Kamal Dhyawala ·2013-03-19 11:50:37

plzz explain

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