counting text occurrance in multiple column

I'm using =COUNTIF(a1:a40,"word") to count the text occurance for a single column, but now I want to know what do i use to know the total number a word appeared that matches the other word from another column. I know it's confusing, i'm totally confuse now. I can't even explain it right.

it's like this:
Picture1.png


i need to get the total of every white female and every white male.

Thank you in advance!!