Question

Number of different words that can be formed using all the letters of the word DEEPMALA if two vowels are together and the other two are also together but separated from the first two

Answer 1

These are the 6 ways to pair up the vowels:
AA EE
AE AE
AE EA
EA EA
EA AE
EE AA

Now consider the ways if you use each pair as a single letter.

But consider duplicates.

Answer 2

4 factorial * 5c2 * 6 = 1440

Answer 3

Bad

Answer 4

nice method