How many words,with or without meaning, each of 3 vowels and 2 consonants canbe formed from the letters of the word INVOLUTE?
Since there are 3 vowels, we don't have to choose those.
There are 5 consonants, and we have to choose 2. For now, the order doesn't matter, so 5*4/2=10 ways to choose.
So we have to order five distinct items.
There are 5 possibilities for the first letter of the word, 4 for the next, 3 for the middle, 2 for the second-to-last, and only 1 remaining for the last slot.
10 ways to choose the letters times 120 ways to order those letters =1200 possible words.