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________.

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answer is 432.

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Detailed Solution

Given word is UNIVERSE
Vowels are U,I,E,E
Consonants are N,V,R,S
Number of 4-letter words consisting of 2 vowels and 2 consonants is
$^{3} C_{2} \times 4_{C_{2}} \times 4! = 432$

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