Number of different words that can be forrmed using all the letter | Filo
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Number of different words that can be forrmed using all the letters of the word "DEEPMALA" If two vowels are togehter and the other two are also together but separated from the first two is-

Correct Answer: Option(a)
Solution: Number of possible arrangements of vowels

Now we have to make the cases of how this can be arranged.

Case I : In first place, there is a 2 vowel V __ this can be formed in ways 

No. of ways .

Case II : In second place, there is a 2 vowel.
V ___ This can be formed in ways 

  No. of ways =

Case III : In third place there is a 2 vowel.
V ___ This can be formed in ways

No of ways

Case IV : In fourth place there is a 2 vowel
V ___ This can be formed in ways

No. of ways

No more possible case there will be a letter repeated 

Thus, total ways .

Now vowel can be arranged in 6 ways.

no. of different wolds .

The next cond. is : AEEA are together

No. of words

Total no. of words when all four vowels are together .

Final no. of words when vowels (pair) are not together
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