Question

How many unique words can be formed with letters a,c,d,e and z if the two vowels can never be together and repetition is not allowed?

Answer 1

if the two vowels can never be together and repetition is not allowed then followings words can be formed,

here we know that n=5,

and r=3,

so that Formula of permutation can be found as,

P=n!/(n-r)!

P=5!/(5-3)!

P=60

So that there are 60 possible words that can be formed with letter, a, c, d, e, and z.