Question

In how many ways the letters of the word commerce be arranged in which vowels are never together?

Answer 1

The 5 consonants c,m,m,r,c can be arranged in 5!/2! ways.there are six places for three vowels o,e,e which can be arranged 6P3/2! ways.

So the number of arrangements

= (5!/2!)×(6P3/2!)

=60×60=3600