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 is

The word DEEPMALA has 8 total letters, including 4 vowels (E, E, A, A) and 4 consonants (D, P, M, L). Tie the vowels into two pairs, which can be chosen and arranged in 4!/(2! 2!) = 6 ways, and treat them as two single blocks. Arrange these two vowel blocks and the four consonants in a total of 6! ways. The total number of words is 6 x 6! = 4320, but to find the arrangements where the pairs are distinct and separated, the calculation is 4!/(2! x 2!) x 4! x 2! = 1440.

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