The number of different words (eight-letter words) ending and beginning with a consonant which can be made out of the letters of the word 'EQUATION' is

Step-by-step solution

EQUATION - 8 letters. Consonants - Q , T , N -3 letters. first letter of 8- letter word can be any of 3 consonants Last letter of 8- letter word can be remaining 2 consonants. The middle 6- letters can be arranged in 6 ! ways. So, number of different words =3 2 6 ! =6 720=4320 .