Question

How many words with or without meaning taking 3 consonants and 2 vowels can be formed using 5 consonants and 4 vowels?

Answer 1

3 consonants and 2 vowels can be selected in $5_{c_3}\times 4_{C_2}$ ways Now a five letter words can be arranged in 5! ways, hence the tyoptal number of words are $5_{C_3}\times 4_{C_2}\times 5!$