Counting different criteria in different columns ??

Hi
I need to count different criterias from different columns. I have been tryiing to work with array formulas but I just can't string it together. Also, in one of my columns some cells have only part of the criteria.

Column A - has either Australia Post , express, express post, Exp
Column B - has 24g, 24f, or 24t

I need a formula that will count all "Express" types (i.e express, express post and Exp)if it also has 24g in column B .

Hoping someone can help

snowee01