Hello, I need help with this ...

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

The answer is 15.

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