Find the number of 4 letter words that can be formed using one vowel and 3 consonants from the letters of the word 'ARTICLE'.

In the word ARTICLE

Vowels =A,I,E

Consonants=R,T,C,L

no of ways of selecting one vowel =${ }^3{C}_1=3$

no of ways of selecting three  consonants=${ }^4{C}_3=4$

No of 4 letter words containng one vowel and 3 consonants=$3\times 4\times 4!=12\times 24=288$