Thank you for reporting, we will resolve it shortly
Q.
Out of $7$ consonants and $4 $ vowels, the number of words (not necessarily meaningful) that can be made, each consisting of $3$ consonants and $2 $ vowels, is
$3 $ consonants can be selected from 7 consonants$={ }^{7} C_{3} \text { ways }$
$2$ vowels can be selected from 4 vowels
$={ }^{4} C_{2} \text { ways }$
$\therefore $ Required number of words
$={ }^{7} C_{3} \times{ }^{4} C_{2} \times 5 !$
[selected $5$ letters can be arrange in $5 !$, so get, a different words]
$=35 \times 6 \times 120=25200$