I have the word CATERING.
I need to find out how many 5 letter words can be made using at least one vowel and one constant with repition.
Thanks for any help.
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 we don't have 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
I had a go at this one earlier and that’s the answer I originally got. But then I thought what about the occurrences when 3 vowels and no constants are used as reputation is aloud. So I subtracted 3 ^5 from 29,643 to get 29, 400. I assume this is the correct answer as that it what is says in the text book. Thanks for your help anyway