The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the letters of the word UNIVERSE without repetition is_____.
Text Solution
Verified by Experts432
(432)
Given,
We have to make four letter word from UNIVERSE each consisting 2 vowels and 2 consonants,
Now in UNIVERSE, we have,
E, E, I, U, (Vowels) + N, R, S, V (Consonants)
2 different vowels + 2 consonants can be arrange in 3 C 2 . 4 C 2 .4! = 3 x 6 x 24 = 432 ways
{ 3 C 2 is taken because of repetition of letter E }
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