Hello, holmesb!

A tricky one . . . It took a bit of Thinking.

Given the word CATERING, how many 5-letter words can be made

using at least one vowel and one consonant with repetition?

With no restrictions, there are: .8^5 possible five-letter words.

The only time wedon'thave at least one and one consonant

. . is when we happen to pick five consonants.

This can happen in: .5^5 ways.

Therefore, the answer is: .8^5 - 5^5 .= .32,768 - 3,125 .= .29,643