CMAT 2020 Solved Question Paper

‘EXTRA’
The given word contains 5 different letters
Taking the vowels together, we treat them as on letter
Then, the letters to be arranged are XTR (EA)
These letters can be arranged in ∠4
= 4 . 3 . 2 . 1 = 24 ways
The vowels EA may be arranged amongst themselves in ∠2 = 2 ways
Number of words, each having vowels together
= 24 × 2 = 48
Total number of words formed by using all the letters of the given words
= ∠5 = 5 . 4 . 3 . 2 . 1 = 120
Hence, number of words, each having vowels never together = 120 – 48 = 72.