# Thread: General Counting Methods - combinatorics

1. ## General Counting Methods - combinatorics

Hello, I need help with this ...

How many ways are there to pick first a vowel and then a consonant from MATHEMATICS?

I thought that I have
4 vowels A E A I, thus 4 possible vowels
and
7 consonants M T H M T C S, thus 7 possible consonants

Then 4*7=28 which is incorrect.

How can I get to the answer 15?
Thanks

2. Originally Posted by DBA
Hello, I need help with this ...

How many ways are there to pick first a vowel and then a consonant from MATHEMATICS?