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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

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 __________:

Choose the correct answer:

A.
432
(Correct Answer)
B.
423
C.
425
D.
430

Correct Answer:

432

Explanation

\text{2 different vowels and 2 different consonants:}

{}^{3}C_{2} \times {}^{4}C_{2} \times 4! = 432

Explanation

\text{2 different vowels and 2 different consonants:}

{}^{3}C_{2} \times {}^{4}C_{2} \times 4! = 432

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