Question 371655
How many three-letter words can be made from the first eight letters of the alphabet if consonants cannot be next to each other and letters cannot be repeated?

The number of three-letter words with consonant as the first letter. The choices are b,c,d,f,g,h.
= 6*2*5 = 60

The number of three-letter words with vowel as the first letter. The choices are a & e
= 2*6*1 = 12

The number of three-letter words that can be made from the first eight letters of the alphabet is 72. (60+12)