Find the number of words with 2 vowels and 3 consonants selected from word ‘MIXTURE’

Given word is MIXTURE
No. of vowels = 3
No. of consonants = 4
The 2 vowels can be selected from 3 vowels in ${}^{3}C_2$ ways and the 3 consonants can be selected from 4 consonants in $={}^{4}C_3$ ways
Required no. of selections $={}^{3}C_2\times {}^{4}C_3$ ways and they can be arranged in 5! ways
$\therefore$ The no. of 5 letters words formed $={}^{3}C_2\times {}^{4}C_3\times 5!=1440$