How many words each of 3 consonants and 2 vowels can be formed?

Question

from the letters of the word INVOLUTE

Answer 1

INVOLUTE

4 consonants : N, V, L and T

4 vowels : I, O, U and E

answer

= (choose 3 consonants from 4) * (choose 2 vowels from 4) * (arrange all 3+2=5 letters)

= 4C3 * 4C2 * (3+2)P(3+2)

= 4C3 * 4C2 * 5P5

= 4 * 6 * 5!

= 2880