Question

How many words, with or without meaning each of $3$ vovels and $2$ consonants can be formed from the letter of the word $INVOLUTE$?

Answer 1

The no: of combination of $3$ vowels and $2$ consonants should be $4\times 6=24$.

Since we are considering combination,each set of $3$ vowels and each set of $2$ consonants form a combination.

The combination are $(I,O,E,N,V),(I,O,E,N,L)$,...so on.

$\therefore$ $24\times 120=2880$