The number of 4 -letter words, with or without meaning, each...

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 ${}^{3}{C}_{2}{\cdot}^{4}{C}_{2} \cdot 4 ! = 3 \times 6 \times 24 = 432$ ways

{$C2 3$ is taken because of repetition of letter E }